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Simplifying 5(3z + 1) + -7 = 133 Reorder the terms: 5(1 + 3z) + -7 = 133 (1 * 5 + 3z * 5) + -7 = 133 (5 + 15z) + -7 = 133 Reorder the terms: 5 + -7 + 15z = 133 Combine like terms: 5 + -7 = -2 -2 + 15z = 133 Solving -2 + 15z = 133 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 15z = 133 + 2 Combine like terms: -2 + 2 = 0 0 + 15z = 133 + 2 15z = 133 + 2 Combine like terms: 133 + 2 = 135 15z = 135 Divide each side by '15'. z = 9 Simplifying z = 9
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