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Simplifying 17 = 12 + 2(z + -5) Reorder the terms: 17 = 12 + 2(-5 + z) 17 = 12 + (-5 * 2 + z * 2) 17 = 12 + (-10 + 2z) Combine like terms: 12 + -10 = 2 17 = 2 + 2z Solving 17 = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 17 + -2z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 17 + -2z = 2 + 0 17 + -2z = 2 Add '-17' to each side of the equation. 17 + -17 + -2z = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -2z = 2 + -17 -2z = 2 + -17 Combine like terms: 2 + -17 = -15 -2z = -15 Divide each side by '-2'. z = 7.5 Simplifying z = 7.5
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