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Simplifying 5(3z + 1) + -6 = 119 Reorder the terms: 5(1 + 3z) + -6 = 119 (1 * 5 + 3z * 5) + -6 = 119 (5 + 15z) + -6 = 119 Reorder the terms: 5 + -6 + 15z = 119 Combine like terms: 5 + -6 = -1 -1 + 15z = 119 Solving -1 + 15z = 119 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 = 119 + 1 Combine like terms: -1 + 1 = 0 0 + 15z = 119 + 1 15z = 119 + 1 Combine like terms: 119 + 1 = 120 15z = 120 Divide each side by '15'. z = 8 Simplifying z = 8
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