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Simplifying (6 + 8) * 6 = (7 + z) * 7 Combine like terms: 6 + 8 = 14 (14) * 6 = (7 + z) * 7 Multiply 14 * 6 84 = (7 + z) * 7 Reorder the terms for easier multiplication: 84 = 7(7 + z) 84 = (7 * 7 + z * 7) 84 = (49 + 7z) Solving 84 = 49 + 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. 84 + -7z = 49 + 7z + -7z Combine like terms: 7z + -7z = 0 84 + -7z = 49 + 0 84 + -7z = 49 Add '-84' to each side of the equation. 84 + -84 + -7z = 49 + -84 Combine like terms: 84 + -84 = 0 0 + -7z = 49 + -84 -7z = 49 + -84 Combine like terms: 49 + -84 = -35 -7z = -35 Divide each side by '-7'. z = 5 Simplifying z = 5
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