a. \( 34+(345+89) \) d. \( 4 \cdot(98-54) \) g. \( 65-4 \cdot(82-32) \) i. \( (67+87)-(45+7) \) k. \( (12+36): 12+3 \cdot(-8+7) \) m. \( 34-8 \cdot(54+24) \)

Let's solve each of the expressions step by step. a. \( 34 + (345 + 89) \) First, calculate the expression inside the parentheses: \[ 345 + 89 = 434 \] Now, add 34: \[ 34 + 434 = 468 \] d. \( 4 \cdot (98 - 54) \) First, calculate the expression inside the parentheses: \[ 98 - 54 = 44 \] Now, multiply by 4: \[ 4 \cdot 44 = 176 \] g. \( 65 - 4 \cdot (82 - 32) \) First, calculate the expression inside the parentheses: \[ 82 - 32 = 50 \] Now, multiply by 4: \[ 4 \cdot 50 = 200 \] Now, subtract from 65: \[ 65 - 200 = -135 \] i. \( (67 + 87) - (45 + 7) \) First, calculate the expressions inside the parentheses: \[ 67 + 87 = 154 \] \[ 45 + 7 = 52 \] Now, subtract: \[ 154 - 52 = 102 \] k. \( (12 + 36) : 12 + 3 \cdot (-8 + 7) \) First, calculate the expression inside the first parentheses: \[ 12 + 36 = 48 \] Now, divide by 12: \[ 48 : 12 = 4 \] Next, calculate the expression inside the second parentheses: \[ -8 + 7 = -1 \] Now, multiply by 3: \[ 3 \cdot (-1) = -3 \] Finally, add the two results: \[ 4 + (-3) = 1 \] m. \( 34 - 8 \cdot (54 + 24) \) First, calculate the expression inside the parentheses: \[ 54 + 24 = 78 \] Now, multiply by 8: \[ 8 \cdot 78 = 624 \] Now, subtract from 34: \[ 34 - 624 = -590 \] ### Summary of Results: - a. \( 468 \) - d. \( 176 \) - g. \( -135 \) - i. \( 102 \) - k. \( 1 \) - m. \( -590 \)