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Simplifying 3(z + -5) + -1(2 + -9z) = -17 Reorder the terms: 3(-5 + z) + -1(2 + -9z) = -17 (-5 * 3 + z * 3) + -1(2 + -9z) = -17 (-15 + 3z) + -1(2 + -9z) = -17 -15 + 3z + (2 * -1 + -9z * -1) = -17 -15 + 3z + (-2 + 9z) = -17 Reorder the terms: -15 + -2 + 3z + 9z = -17 Combine like terms: -15 + -2 = -17 -17 + 3z + 9z = -17 Combine like terms: 3z + 9z = 12z -17 + 12z = -17 Add '17' to each side of the equation. -17 + 17 + 12z = -17 + 17 Combine like terms: -17 + 17 = 0 0 + 12z = -17 + 17 12z = -17 + 17 Combine like terms: -17 + 17 = 0 12z = 0 Solving 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '12'. z = 0 Simplifying z = 0
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