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Simplifying 9(z + 4) + -2(z + -2) = 2(z + -2) + 4(z + -3) Reorder the terms: 9(4 + z) + -2(z + -2) = 2(z + -2) + 4(z + -3) (4 * 9 + z * 9) + -2(z + -2) = 2(z + -2) + 4(z + -3) (36 + 9z) + -2(z + -2) = 2(z + -2) + 4(z + -3) Reorder the terms: 36 + 9z + -2(-2 + z) = 2(z + -2) + 4(z + -3) 36 + 9z + (-2 * -2 + z * -2) = 2(z + -2) + 4(z + -3) 36 + 9z + (4 + -2z) = 2(z + -2) + 4(z + -3) Reorder the terms: 36 + 4 + 9z + -2z = 2(z + -2) + 4(z + -3) Combine like terms: 36 + 4 = 40 40 + 9z + -2z = 2(z + -2) + 4(z + -3) Combine like terms: 9z + -2z = 7z 40 + 7z = 2(z + -2) + 4(z + -3) Reorder the terms: 40 + 7z = 2(-2 + z) + 4(z + -3) 40 + 7z = (-2 * 2 + z * 2) + 4(z + -3) 40 + 7z = (-4 + 2z) + 4(z + -3) Reorder the terms: 40 + 7z = -4 + 2z + 4(-3 + z) 40 + 7z = -4 + 2z + (-3 * 4 + z * 4) 40 + 7z = -4 + 2z + (-12 + 4z) Reorder the terms: 40 + 7z = -4 + -12 + 2z + 4z Combine like terms: -4 + -12 = -16 40 + 7z = -16 + 2z + 4z Combine like terms: 2z + 4z = 6z 40 + 7z = -16 + 6z Solving 40 + 7z = -16 + 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. 40 + 7z + -6z = -16 + 6z + -6z Combine like terms: 7z + -6z = 1z 40 + 1z = -16 + 6z + -6z Combine like terms: 6z + -6z = 0 40 + 1z = -16 + 0 40 + 1z = -16 Add '-40' to each side of the equation. 40 + -40 + 1z = -16 + -40 Combine like terms: 40 + -40 = 0 0 + 1z = -16 + -40 1z = -16 + -40 Combine like terms: -16 + -40 = -56 1z = -56 Divide each side by '1'. z = -56 Simplifying z = -56
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