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Simplifying 6(z + 7) = 7z + -4 Reorder the terms: 6(7 + z) = 7z + -4 (7 * 6 + z * 6) = 7z + -4 (42 + 6z) = 7z + -4 Reorder the terms: 42 + 6z = -4 + 7z Solving 42 + 6z = -4 + 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 + 6z + -7z = -4 + 7z + -7z Combine like terms: 6z + -7z = -1z 42 + -1z = -4 + 7z + -7z Combine like terms: 7z + -7z = 0 42 + -1z = -4 + 0 42 + -1z = -4 Add '-42' to each side of the equation. 42 + -42 + -1z = -4 + -42 Combine like terms: 42 + -42 = 0 0 + -1z = -4 + -42 -1z = -4 + -42 Combine like terms: -4 + -42 = -46 -1z = -46 Divide each side by '-1'. z = 46 Simplifying z = 46
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