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Simplifying 3(2z + 5) = 5 + -2(z + -5) Reorder the terms: 3(5 + 2z) = 5 + -2(z + -5) (5 * 3 + 2z * 3) = 5 + -2(z + -5) (15 + 6z) = 5 + -2(z + -5) Reorder the terms: 15 + 6z = 5 + -2(-5 + z) 15 + 6z = 5 + (-5 * -2 + z * -2) 15 + 6z = 5 + (10 + -2z) Combine like terms: 5 + 10 = 15 15 + 6z = 15 + -2z Add '-15' to each side of the equation. 15 + -15 + 6z = 15 + -15 + -2z Combine like terms: 15 + -15 = 0 0 + 6z = 15 + -15 + -2z 6z = 15 + -15 + -2z Combine like terms: 15 + -15 = 0 6z = 0 + -2z 6z = -2z Solving 6z = -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. 6z + 2z = -2z + 2z Combine like terms: 6z + 2z = 8z 8z = -2z + 2z Combine like terms: -2z + 2z = 0 8z = 0 Divide each side by '8'. z = 0 Simplifying z = 0
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