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Simplifying 42 = 7(z + -4) Reorder the terms: 42 = 7(-4 + z) 42 = (-4 * 7 + z * 7) 42 = (-28 + 7z) Solving 42 = -28 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 42 + -7z = -28 + 7z + -7z Combine like terms: 7z + -7z = 0 42 + -7z = -28 + 0 42 + -7z = -28 Add '-42' to each side of the equation. 42 + -42 + -7z = -28 + -42 Combine like terms: 42 + -42 = 0 0 + -7z = -28 + -42 -7z = -28 + -42 Combine like terms: -28 + -42 = -70 -7z = -70 Divide each side by '-7'. z = 10 Simplifying z = 10
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