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