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Simplifying -2(-1z + -4) + 3 = -1(5z + 3) Reorder the terms: -2(-4 + -1z) + 3 = -1(5z + 3) (-4 * -2 + -1z * -2) + 3 = -1(5z + 3) (8 + 2z) + 3 = -1(5z + 3) Reorder the terms: 8 + 3 + 2z = -1(5z + 3) Combine like terms: 8 + 3 = 11 11 + 2z = -1(5z + 3) Reorder the terms: 11 + 2z = -1(3 + 5z) 11 + 2z = (3 * -1 + 5z * -1) 11 + 2z = (-3 + -5z) Solving 11 + 2z = -3 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 11 + 2z + 5z = -3 + -5z + 5z Combine like terms: 2z + 5z = 7z 11 + 7z = -3 + -5z + 5z Combine like terms: -5z + 5z = 0 11 + 7z = -3 + 0 11 + 7z = -3 Add '-11' to each side of the equation. 11 + -11 + 7z = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 7z = -3 + -11 7z = -3 + -11 Combine like terms: -3 + -11 = -14 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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