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Simplifying 7z + -3 + 7(z + 1) = -1(4z + -1) Reorder the terms: 7z + -3 + 7(1 + z) = -1(4z + -1) 7z + -3 + (1 * 7 + z * 7) = -1(4z + -1) 7z + -3 + (7 + 7z) = -1(4z + -1) Reorder the terms: -3 + 7 + 7z + 7z = -1(4z + -1) Combine like terms: -3 + 7 = 4 4 + 7z + 7z = -1(4z + -1) Combine like terms: 7z + 7z = 14z 4 + 14z = -1(4z + -1) Reorder the terms: 4 + 14z = -1(-1 + 4z) 4 + 14z = (-1 * -1 + 4z * -1) 4 + 14z = (1 + -4z) Solving 4 + 14z = 1 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 4 + 14z + 4z = 1 + -4z + 4z Combine like terms: 14z + 4z = 18z 4 + 18z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 4 + 18z = 1 + 0 4 + 18z = 1 Add '-4' to each side of the equation. 4 + -4 + 18z = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 18z = 1 + -4 18z = 1 + -4 Combine like terms: 1 + -4 = -3 18z = -3 Divide each side by '18'. z = -0.1666666667 Simplifying z = -0.1666666667
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