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Simplifying 5(2z + 3) = 6 + -3(z + -3) Reorder the terms: 5(3 + 2z) = 6 + -3(z + -3) (3 * 5 + 2z * 5) = 6 + -3(z + -3) (15 + 10z) = 6 + -3(z + -3) Reorder the terms: 15 + 10z = 6 + -3(-3 + z) 15 + 10z = 6 + (-3 * -3 + z * -3) 15 + 10z = 6 + (9 + -3z) Combine like terms: 6 + 9 = 15 15 + 10z = 15 + -3z Add '-15' to each side of the equation. 15 + -15 + 10z = 15 + -15 + -3z Combine like terms: 15 + -15 = 0 0 + 10z = 15 + -15 + -3z 10z = 15 + -15 + -3z Combine like terms: 15 + -15 = 0 10z = 0 + -3z 10z = -3z Solving 10z = -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. 10z + 3z = -3z + 3z Combine like terms: 10z + 3z = 13z 13z = -3z + 3z Combine like terms: -3z + 3z = 0 13z = 0 Divide each side by '13'. z = 0 Simplifying z = 0
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