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Simplifying 9(z + 2) + -2(z + -1) = 4(z + -1) + 2(z + -2) Reorder the terms: 9(2 + z) + -2(z + -1) = 4(z + -1) + 2(z + -2) (2 * 9 + z * 9) + -2(z + -1) = 4(z + -1) + 2(z + -2) (18 + 9z) + -2(z + -1) = 4(z + -1) + 2(z + -2) Reorder the terms: 18 + 9z + -2(-1 + z) = 4(z + -1) + 2(z + -2) 18 + 9z + (-1 * -2 + z * -2) = 4(z + -1) + 2(z + -2) 18 + 9z + (2 + -2z) = 4(z + -1) + 2(z + -2) Reorder the terms: 18 + 2 + 9z + -2z = 4(z + -1) + 2(z + -2) Combine like terms: 18 + 2 = 20 20 + 9z + -2z = 4(z + -1) + 2(z + -2) Combine like terms: 9z + -2z = 7z 20 + 7z = 4(z + -1) + 2(z + -2) Reorder the terms: 20 + 7z = 4(-1 + z) + 2(z + -2) 20 + 7z = (-1 * 4 + z * 4) + 2(z + -2) 20 + 7z = (-4 + 4z) + 2(z + -2) Reorder the terms: 20 + 7z = -4 + 4z + 2(-2 + z) 20 + 7z = -4 + 4z + (-2 * 2 + z * 2) 20 + 7z = -4 + 4z + (-4 + 2z) Reorder the terms: 20 + 7z = -4 + -4 + 4z + 2z Combine like terms: -4 + -4 = -8 20 + 7z = -8 + 4z + 2z Combine like terms: 4z + 2z = 6z 20 + 7z = -8 + 6z Solving 20 + 7z = -8 + 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. 20 + 7z + -6z = -8 + 6z + -6z Combine like terms: 7z + -6z = 1z 20 + 1z = -8 + 6z + -6z Combine like terms: 6z + -6z = 0 20 + 1z = -8 + 0 20 + 1z = -8 Add '-20' to each side of the equation. 20 + -20 + 1z = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 1z = -8 + -20 1z = -8 + -20 Combine like terms: -8 + -20 = -28 1z = -28 Divide each side by '1'. z = -28 Simplifying z = -28
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