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Simplifying 5(2z + 3) = 9 + -2(z + -3) Reorder the terms: 5(3 + 2z) = 9 + -2(z + -3) (3 * 5 + 2z * 5) = 9 + -2(z + -3) (15 + 10z) = 9 + -2(z + -3) Reorder the terms: 15 + 10z = 9 + -2(-3 + z) 15 + 10z = 9 + (-3 * -2 + z * -2) 15 + 10z = 9 + (6 + -2z) Combine like terms: 9 + 6 = 15 15 + 10z = 15 + -2z Add '-15' to each side of the equation. 15 + -15 + 10z = 15 + -15 + -2z Combine like terms: 15 + -15 = 0 0 + 10z = 15 + -15 + -2z 10z = 15 + -15 + -2z Combine like terms: 15 + -15 = 0 10z = 0 + -2z 10z = -2z Solving 10z = -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. 10z + 2z = -2z + 2z Combine like terms: 10z + 2z = 12z 12z = -2z + 2z Combine like terms: -2z + 2z = 0 12z = 0 Divide each side by '12'. z = 0 Simplifying z = 0
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