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Simplifying 8 + -4(z + -1) = 2 + 3(4 + -1x) Reorder the terms: 8 + -4(-1 + z) = 2 + 3(4 + -1x) 8 + (-1 * -4 + z * -4) = 2 + 3(4 + -1x) 8 + (4 + -4z) = 2 + 3(4 + -1x) Combine like terms: 8 + 4 = 12 12 + -4z = 2 + 3(4 + -1x) 12 + -4z = 2 + (4 * 3 + -1x * 3) 12 + -4z = 2 + (12 + -3x) Combine like terms: 2 + 12 = 14 12 + -4z = 14 + -3x Solving 12 + -4z = 14 + -3x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4z = 14 + -12 + -3x Combine like terms: 12 + -12 = 0 0 + -4z = 14 + -12 + -3x -4z = 14 + -12 + -3x Combine like terms: 14 + -12 = 2 -4z = 2 + -3x Divide each side by '-4'. z = -0.5 + 0.75x Simplifying z = -0.5 + 0.75x
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