5. \( (32-40+6) \cdot[-3+2 \cdot(-4-9-1+7):(12+16-29)] \)
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Let's break it down step by step: First, simplify inside the parentheses: 1. \( 32 - 40 + 6 = -2 \) 2. \( -4 - 9 - 1 + 7 = -7 \) Now substituting back, we have: \[ ( -2 ) \cdot [ -3 + 2 \cdot (-7) : (12 + 16 - 29) ] \] Calculating the denominator next: \[ 12 + 16 - 29 = -1 \] Now let's handle the expression within the brackets: 1. \( 2 \cdot (-7) = -14 \) 2. Thus, \( -3 - 14 : -1 \) This gives us: \[ -3 - (-14) / (-1) = -3 + 14 = 11 \] So, substituting this back into the main expression, we get: \[ (-2) \cdot 11 = -22 \] Thus, the final answer is: \[ \boxed{-22} \]