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Simplifying 5 + -4(2z + 1) = -1(-6z + -3) + -8 Reorder the terms: 5 + -4(1 + 2z) = -1(-6z + -3) + -8 5 + (1 * -4 + 2z * -4) = -1(-6z + -3) + -8 5 + (-4 + -8z) = -1(-6z + -3) + -8 Combine like terms: 5 + -4 = 1 1 + -8z = -1(-6z + -3) + -8 Reorder the terms: 1 + -8z = -1(-3 + -6z) + -8 1 + -8z = (-3 * -1 + -6z * -1) + -8 1 + -8z = (3 + 6z) + -8 Reorder the terms: 1 + -8z = 3 + -8 + 6z Combine like terms: 3 + -8 = -5 1 + -8z = -5 + 6z Solving 1 + -8z = -5 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + -8z + -6z = -5 + 6z + -6z Combine like terms: -8z + -6z = -14z 1 + -14z = -5 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -14z = -5 + 0 1 + -14z = -5 Add '-1' to each side of the equation. 1 + -1 + -14z = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -14z = -5 + -1 -14z = -5 + -1 Combine like terms: -5 + -1 = -6 -14z = -6 Divide each side by '-14'. z = 0.4285714286 Simplifying z = 0.4285714286
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