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Simplifying 3z + 3(1 + -1z) = z + -17 3z + (1 * 3 + -1z * 3) = z + -17 3z + (3 + -3z) = z + -17 Reorder the terms: 3 + 3z + -3z = z + -17 Combine like terms: 3z + -3z = 0 3 + 0 = z + -17 3 = z + -17 Reorder the terms: 3 = -17 + z Solving 3 = -17 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3 + -1z = -17 + z + -1z Combine like terms: z + -1z = 0 3 + -1z = -17 + 0 3 + -1z = -17 Add '-3' to each side of the equation. 3 + -3 + -1z = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = -17 + -3 -1z = -17 + -3 Combine like terms: -17 + -3 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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