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Simplifying -14 = -7(6 + 2z) -14 = (6 * -7 + 2z * -7) -14 = (-42 + -14z) Solving -14 = -42 + -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. -14 + 14z = -42 + -14z + 14z Combine like terms: -14z + 14z = 0 -14 + 14z = -42 + 0 -14 + 14z = -42 Add '14' to each side of the equation. -14 + 14 + 14z = -42 + 14 Combine like terms: -14 + 14 = 0 0 + 14z = -42 + 14 14z = -42 + 14 Combine like terms: -42 + 14 = -28 14z = -28 Divide each side by '14'. z = -2 Simplifying z = -2
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