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Simplifying -10(z + -4) + 52 = -14 + -14 Reorder the terms: -10(-4 + z) + 52 = -14 + -14 (-4 * -10 + z * -10) + 52 = -14 + -14 (40 + -10z) + 52 = -14 + -14 Reorder the terms: 40 + 52 + -10z = -14 + -14 Combine like terms: 40 + 52 = 92 92 + -10z = -14 + -14 Combine like terms: -14 + -14 = -28 92 + -10z = -28 Solving 92 + -10z = -28 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 + -10z = -28 + -92 Combine like terms: 92 + -92 = 0 0 + -10z = -28 + -92 -10z = -28 + -92 Combine like terms: -28 + -92 = -120 -10z = -120 Divide each side by '-10'. z = 12 Simplifying z = 12
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