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Simplifying 4(z + -1) = 2(x + 7) Reorder the terms: 4(-1 + z) = 2(x + 7) (-1 * 4 + z * 4) = 2(x + 7) (-4 + 4z) = 2(x + 7) Reorder the terms: -4 + 4z = 2(7 + x) -4 + 4z = (7 * 2 + x * 2) -4 + 4z = (14 + 2x) Solving -4 + 4z = 14 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4z = 14 + 4 + 2x Combine like terms: -4 + 4 = 0 0 + 4z = 14 + 4 + 2x 4z = 14 + 4 + 2x Combine like terms: 14 + 4 = 18 4z = 18 + 2x Divide each side by '4'. z = 4.5 + 0.5x Simplifying z = 4.5 + 0.5x
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