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Simplifying 5 + -2(3z + 2) = -4(1 + -2z) Reorder the terms: 5 + -2(2 + 3z) = -4(1 + -2z) 5 + (2 * -2 + 3z * -2) = -4(1 + -2z) 5 + (-4 + -6z) = -4(1 + -2z) Combine like terms: 5 + -4 = 1 1 + -6z = -4(1 + -2z) 1 + -6z = (1 * -4 + -2z * -4) 1 + -6z = (-4 + 8z) Solving 1 + -6z = -4 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 1 + -6z + -8z = -4 + 8z + -8z Combine like terms: -6z + -8z = -14z 1 + -14z = -4 + 8z + -8z Combine like terms: 8z + -8z = 0 1 + -14z = -4 + 0 1 + -14z = -4 Add '-1' to each side of the equation. 1 + -1 + -14z = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -14z = -4 + -1 -14z = -4 + -1 Combine like terms: -4 + -1 = -5 -14z = -5 Divide each side by '-14'. z = 0.3571428571 Simplifying z = 0.3571428571
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