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Simplifying -6(3z + 1) + -8 + 15z = 31 Reorder the terms: -6(1 + 3z) + -8 + 15z = 31 (1 * -6 + 3z * -6) + -8 + 15z = 31 (-6 + -18z) + -8 + 15z = 31 Reorder the terms: -6 + -8 + -18z + 15z = 31 Combine like terms: -6 + -8 = -14 -14 + -18z + 15z = 31 Combine like terms: -18z + 15z = -3z -14 + -3z = 31 Solving -14 + -3z = 31 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3z = 31 + 14 Combine like terms: -14 + 14 = 0 0 + -3z = 31 + 14 -3z = 31 + 14 Combine like terms: 31 + 14 = 45 -3z = 45 Divide each side by '-3'. z = -15 Simplifying z = -15
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