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Simplifying 3(z + 5) = 5 + z Reorder the terms: 3(5 + z) = 5 + z (5 * 3 + z * 3) = 5 + z (15 + 3z) = 5 + z Solving 15 + 3z = 5 + 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. 15 + 3z + -1z = 5 + z + -1z Combine like terms: 3z + -1z = 2z 15 + 2z = 5 + z + -1z Combine like terms: z + -1z = 0 15 + 2z = 5 + 0 15 + 2z = 5 Add '-15' to each side of the equation. 15 + -15 + 2z = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 2z = 5 + -15 2z = 5 + -15 Combine like terms: 5 + -15 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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