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Simplifying 3z + -14 = 2(1 + 8c) + -3 Reorder the terms: -14 + 3z = 2(1 + 8c) + -3 -14 + 3z = (1 * 2 + 8c * 2) + -3 -14 + 3z = (2 + 16c) + -3 Reorder the terms: -14 + 3z = 2 + -3 + 16c Combine like terms: 2 + -3 = -1 -14 + 3z = -1 + 16c Solving -14 + 3z = -1 + 16c 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 = -1 + 14 + 16c Combine like terms: -14 + 14 = 0 0 + 3z = -1 + 14 + 16c 3z = -1 + 14 + 16c Combine like terms: -1 + 14 = 13 3z = 13 + 16c Divide each side by '3'. z = 4.333333333 + 5.333333333c Simplifying z = 4.333333333 + 5.333333333c
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