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Simplifying 8(2z + 1) = 4(7z + -1) Reorder the terms: 8(1 + 2z) = 4(7z + -1) (1 * 8 + 2z * 8) = 4(7z + -1) (8 + 16z) = 4(7z + -1) Reorder the terms: 8 + 16z = 4(-1 + 7z) 8 + 16z = (-1 * 4 + 7z * 4) 8 + 16z = (-4 + 28z) Solving 8 + 16z = -4 + 28z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-28z' to each side of the equation. 8 + 16z + -28z = -4 + 28z + -28z Combine like terms: 16z + -28z = -12z 8 + -12z = -4 + 28z + -28z Combine like terms: 28z + -28z = 0 8 + -12z = -4 + 0 8 + -12z = -4 Add '-8' to each side of the equation. 8 + -8 + -12z = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -12z = -4 + -8 -12z = -4 + -8 Combine like terms: -4 + -8 = -12 -12z = -12 Divide each side by '-12'. z = 1 Simplifying z = 1
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