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Simplifying z + 5 = 3(z + -5) Reorder the terms: 5 + z = 3(z + -5) Reorder the terms: 5 + z = 3(-5 + z) 5 + z = (-5 * 3 + z * 3) 5 + z = (-15 + 3z) Solving 5 + z = -15 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5 + z + -3z = -15 + 3z + -3z Combine like terms: z + -3z = -2z 5 + -2z = -15 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + -2z = -15 + 0 5 + -2z = -15 Add '-5' to each side of the equation. 5 + -5 + -2z = -15 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = -15 + -5 -2z = -15 + -5 Combine like terms: -15 + -5 = -20 -2z = -20 Divide each side by '-2'. z = 10 Simplifying z = 10
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