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Simplifying 7(z + 6) = 8z Reorder the terms: 7(6 + z) = 8z (6 * 7 + z * 7) = 8z (42 + 7z) = 8z Solving 42 + 7z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 42 + 7z + -8z = 8z + -8z Combine like terms: 7z + -8z = -1z 42 + -1z = 8z + -8z Combine like terms: 8z + -8z = 0 42 + -1z = 0 Add '-42' to each side of the equation. 42 + -42 + -1z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1z = 0 + -42 -1z = 0 + -42 Combine like terms: 0 + -42 = -42 -1z = -42 Divide each side by '-1'. z = 42 Simplifying z = 42
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