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Simplifying -1(z + -4) + (5z + 1) = -2(z + 1) Reorder the terms: -1(-4 + z) + (5z + 1) = -2(z + 1) (-4 * -1 + z * -1) + (5z + 1) = -2(z + 1) (4 + -1z) + (5z + 1) = -2(z + 1) Reorder the terms: 4 + -1z + (1 + 5z) = -2(z + 1) Remove parenthesis around (1 + 5z) 4 + -1z + 1 + 5z = -2(z + 1) Reorder the terms: 4 + 1 + -1z + 5z = -2(z + 1) Combine like terms: 4 + 1 = 5 5 + -1z + 5z = -2(z + 1) Combine like terms: -1z + 5z = 4z 5 + 4z = -2(z + 1) Reorder the terms: 5 + 4z = -2(1 + z) 5 + 4z = (1 * -2 + z * -2) 5 + 4z = (-2 + -2z) Solving 5 + 4z = -2 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 5 + 4z + 2z = -2 + -2z + 2z Combine like terms: 4z + 2z = 6z 5 + 6z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 5 + 6z = -2 + 0 5 + 6z = -2 Add '-5' to each side of the equation. 5 + -5 + 6z = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = -2 + -5 6z = -2 + -5 Combine like terms: -2 + -5 = -7 6z = -7 Divide each side by '6'. z = -1.166666667 Simplifying z = -1.166666667
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