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Simplifying 9 = -3(21 + -1z) + 2(z + -4) 9 = (21 * -3 + -1z * -3) + 2(z + -4) 9 = (-63 + 3z) + 2(z + -4) Reorder the terms: 9 = -63 + 3z + 2(-4 + z) 9 = -63 + 3z + (-4 * 2 + z * 2) 9 = -63 + 3z + (-8 + 2z) Reorder the terms: 9 = -63 + -8 + 3z + 2z Combine like terms: -63 + -8 = -71 9 = -71 + 3z + 2z Combine like terms: 3z + 2z = 5z 9 = -71 + 5z Solving 9 = -71 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + -5z = -71 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + -5z = -71 + 0 9 + -5z = -71 Add '-9' to each side of the equation. 9 + -9 + -5z = -71 + -9 Combine like terms: 9 + -9 = 0 0 + -5z = -71 + -9 -5z = -71 + -9 Combine like terms: -71 + -9 = -80 -5z = -80 Divide each side by '-5'. z = 16 Simplifying z = 16
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