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Simplifying 5(3z + 2) = 4 + -3(z + -2) Reorder the terms: 5(2 + 3z) = 4 + -3(z + -2) (2 * 5 + 3z * 5) = 4 + -3(z + -2) (10 + 15z) = 4 + -3(z + -2) Reorder the terms: 10 + 15z = 4 + -3(-2 + z) 10 + 15z = 4 + (-2 * -3 + z * -3) 10 + 15z = 4 + (6 + -3z) Combine like terms: 4 + 6 = 10 10 + 15z = 10 + -3z Add '-10' to each side of the equation. 10 + -10 + 15z = 10 + -10 + -3z Combine like terms: 10 + -10 = 0 0 + 15z = 10 + -10 + -3z 15z = 10 + -10 + -3z Combine like terms: 10 + -10 = 0 15z = 0 + -3z 15z = -3z Solving 15z = -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. 15z + 3z = -3z + 3z Combine like terms: 15z + 3z = 18z 18z = -3z + 3z Combine like terms: -3z + 3z = 0 18z = 0 Divide each side by '18'. z = 0 Simplifying z = 0
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