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Simplifying 5(3z + 8) = 16 + -3(z + -8) Reorder the terms: 5(8 + 3z) = 16 + -3(z + -8) (8 * 5 + 3z * 5) = 16 + -3(z + -8) (40 + 15z) = 16 + -3(z + -8) Reorder the terms: 40 + 15z = 16 + -3(-8 + z) 40 + 15z = 16 + (-8 * -3 + z * -3) 40 + 15z = 16 + (24 + -3z) Combine like terms: 16 + 24 = 40 40 + 15z = 40 + -3z Add '-40' to each side of the equation. 40 + -40 + 15z = 40 + -40 + -3z Combine like terms: 40 + -40 = 0 0 + 15z = 40 + -40 + -3z 15z = 40 + -40 + -3z Combine like terms: 40 + -40 = 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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