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Simplifying 7(z + 4) = -42 + 2z Reorder the terms: 7(4 + z) = -42 + 2z (4 * 7 + z * 7) = -42 + 2z (28 + 7z) = -42 + 2z Solving 28 + 7z = -42 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 28 + 7z + -2z = -42 + 2z + -2z Combine like terms: 7z + -2z = 5z 28 + 5z = -42 + 2z + -2z Combine like terms: 2z + -2z = 0 28 + 5z = -42 + 0 28 + 5z = -42 Add '-28' to each side of the equation. 28 + -28 + 5z = -42 + -28 Combine like terms: 28 + -28 = 0 0 + 5z = -42 + -28 5z = -42 + -28 Combine like terms: -42 + -28 = -70 5z = -70 Divide each side by '5'. z = -14 Simplifying z = -14
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