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Simplifying -3(3z + 8) + -4(2z + 5) + -5z = 0 Reorder the terms: -3(8 + 3z) + -4(2z + 5) + -5z = 0 (8 * -3 + 3z * -3) + -4(2z + 5) + -5z = 0 (-24 + -9z) + -4(2z + 5) + -5z = 0 Reorder the terms: -24 + -9z + -4(5 + 2z) + -5z = 0 -24 + -9z + (5 * -4 + 2z * -4) + -5z = 0 -24 + -9z + (-20 + -8z) + -5z = 0 Reorder the terms: -24 + -20 + -9z + -8z + -5z = 0 Combine like terms: -24 + -20 = -44 -44 + -9z + -8z + -5z = 0 Combine like terms: -9z + -8z = -17z -44 + -17z + -5z = 0 Combine like terms: -17z + -5z = -22z -44 + -22z = 0 Solving -44 + -22z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -22z = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -22z = 0 + 44 -22z = 0 + 44 Combine like terms: 0 + 44 = 44 -22z = 44 Divide each side by '-22'. z = -2 Simplifying z = -2
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