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Simplifying 7 = 2(z + -5) Reorder the terms: 7 = 2(-5 + z) 7 = (-5 * 2 + z * 2) 7 = (-10 + 2z) Solving 7 = -10 + 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. 7 + -2z = -10 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + -2z = -10 + 0 7 + -2z = -10 Add '-7' to each side of the equation. 7 + -7 + -2z = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -10 + -7 -2z = -10 + -7 Combine like terms: -10 + -7 = -17 -2z = -17 Divide each side by '-2'. z = 8.5 Simplifying z = 8.5
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