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Simplifying 13z + -12(z + -7) + 8 = 107 Reorder the terms: 13z + -12(-7 + z) + 8 = 107 13z + (-7 * -12 + z * -12) + 8 = 107 13z + (84 + -12z) + 8 = 107 Reorder the terms: 84 + 8 + 13z + -12z = 107 Combine like terms: 84 + 8 = 92 92 + 13z + -12z = 107 Combine like terms: 13z + -12z = 1z 92 + 1z = 107 Solving 92 + 1z = 107 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + 1z = 107 + -92 Combine like terms: 92 + -92 = 0 0 + 1z = 107 + -92 1z = 107 + -92 Combine like terms: 107 + -92 = 15 1z = 15 Divide each side by '1'. z = 15 Simplifying z = 15
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