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Simplifying 3(5z + -1) = 7 + -5(3z + 2) Reorder the terms: 3(-1 + 5z) = 7 + -5(3z + 2) (-1 * 3 + 5z * 3) = 7 + -5(3z + 2) (-3 + 15z) = 7 + -5(3z + 2) Reorder the terms: -3 + 15z = 7 + -5(2 + 3z) -3 + 15z = 7 + (2 * -5 + 3z * -5) -3 + 15z = 7 + (-10 + -15z) Combine like terms: 7 + -10 = -3 -3 + 15z = -3 + -15z Add '3' to each side of the equation. -3 + 3 + 15z = -3 + 3 + -15z Combine like terms: -3 + 3 = 0 0 + 15z = -3 + 3 + -15z 15z = -3 + 3 + -15z Combine like terms: -3 + 3 = 0 15z = 0 + -15z 15z = -15z Solving 15z = -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 15z + 15z = -15z + 15z Combine like terms: 15z + 15z = 30z 30z = -15z + 15z Combine like terms: -15z + 15z = 0 30z = 0 Divide each side by '30'. z = 0.0 Simplifying z = 0.0
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