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Simplifying -18 + 7z = -4(6z + -2) Reorder the terms: -18 + 7z = -4(-2 + 6z) -18 + 7z = (-2 * -4 + 6z * -4) -18 + 7z = (8 + -24z) Solving -18 + 7z = 8 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -18 + 7z + 24z = 8 + -24z + 24z Combine like terms: 7z + 24z = 31z -18 + 31z = 8 + -24z + 24z Combine like terms: -24z + 24z = 0 -18 + 31z = 8 + 0 -18 + 31z = 8 Add '18' to each side of the equation. -18 + 18 + 31z = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 31z = 8 + 18 31z = 8 + 18 Combine like terms: 8 + 18 = 26 31z = 26 Divide each side by '31'. z = 0.8387096774 Simplifying z = 0.8387096774
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