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Simplifying 7(z + 4) = 8 + 8z Reorder the terms: 7(4 + z) = 8 + 8z (4 * 7 + z * 7) = 8 + 8z (28 + 7z) = 8 + 8z Solving 28 + 7z = 8 + 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. 28 + 7z + -8z = 8 + 8z + -8z Combine like terms: 7z + -8z = -1z 28 + -1z = 8 + 8z + -8z Combine like terms: 8z + -8z = 0 28 + -1z = 8 + 0 28 + -1z = 8 Add '-28' to each side of the equation. 28 + -28 + -1z = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -1z = 8 + -28 -1z = 8 + -28 Combine like terms: 8 + -28 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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