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Simplifying 42 = -7(-2 + -2z) 42 = (-2 * -7 + -2z * -7) 42 = (14 + 14z) Solving 42 = 14 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 42 + -14z = 14 + 14z + -14z Combine like terms: 14z + -14z = 0 42 + -14z = 14 + 0 42 + -14z = 14 Add '-42' to each side of the equation. 42 + -42 + -14z = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -14z = 14 + -42 -14z = 14 + -42 Combine like terms: 14 + -42 = -28 -14z = -28 Divide each side by '-14'. z = 2 Simplifying z = 2
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