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Simplifying 5(3z + 1) + -7 = 73 Reorder the terms: 5(1 + 3z) + -7 = 73 (1 * 5 + 3z * 5) + -7 = 73 (5 + 15z) + -7 = 73 Reorder the terms: 5 + -7 + 15z = 73 Combine like terms: 5 + -7 = -2 -2 + 15z = 73 Solving -2 + 15z = 73 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 = 73 + 2 Combine like terms: -2 + 2 = 0 0 + 15z = 73 + 2 15z = 73 + 2 Combine like terms: 73 + 2 = 75 15z = 75 Divide each side by '15'. z = 5 Simplifying z = 5
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