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Simplifying 8(1 + -1z) = 4(1 + 2x) + 6 (1 * 8 + -1z * 8) = 4(1 + 2x) + 6 (8 + -8z) = 4(1 + 2x) + 6 8 + -8z = (1 * 4 + 2x * 4) + 6 8 + -8z = (4 + 8x) + 6 Reorder the terms: 8 + -8z = 4 + 6 + 8x Combine like terms: 4 + 6 = 10 8 + -8z = 10 + 8x Solving 8 + -8z = 10 + 8x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -8z = 10 + -8 + 8x Combine like terms: 8 + -8 = 0 0 + -8z = 10 + -8 + 8x -8z = 10 + -8 + 8x Combine like terms: 10 + -8 = 2 -8z = 2 + 8x Divide each side by '-8'. z = -0.25 + -1x Simplifying z = -0.25 + -1x
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