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Simplifying 3(5z + 2) + -7 = 74 Reorder the terms: 3(2 + 5z) + -7 = 74 (2 * 3 + 5z * 3) + -7 = 74 (6 + 15z) + -7 = 74 Reorder the terms: 6 + -7 + 15z = 74 Combine like terms: 6 + -7 = -1 -1 + 15z = 74 Solving -1 + 15z = 74 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 15z = 74 + 1 Combine like terms: -1 + 1 = 0 0 + 15z = 74 + 1 15z = 74 + 1 Combine like terms: 74 + 1 = 75 15z = 75 Divide each side by '15'. z = 5 Simplifying z = 5
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