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Simplifying 9(z + 3) + -4(z + -4) = 2(z + -4) + 2(z + -4) Reorder the terms: 9(3 + z) + -4(z + -4) = 2(z + -4) + 2(z + -4) (3 * 9 + z * 9) + -4(z + -4) = 2(z + -4) + 2(z + -4) (27 + 9z) + -4(z + -4) = 2(z + -4) + 2(z + -4) Reorder the terms: 27 + 9z + -4(-4 + z) = 2(z + -4) + 2(z + -4) 27 + 9z + (-4 * -4 + z * -4) = 2(z + -4) + 2(z + -4) 27 + 9z + (16 + -4z) = 2(z + -4) + 2(z + -4) Reorder the terms: 27 + 16 + 9z + -4z = 2(z + -4) + 2(z + -4) Combine like terms: 27 + 16 = 43 43 + 9z + -4z = 2(z + -4) + 2(z + -4) Combine like terms: 9z + -4z = 5z 43 + 5z = 2(z + -4) + 2(z + -4) Reorder the terms: 43 + 5z = 2(-4 + z) + 2(z + -4) 43 + 5z = (-4 * 2 + z * 2) + 2(z + -4) 43 + 5z = (-8 + 2z) + 2(z + -4) Reorder the terms: 43 + 5z = -8 + 2z + 2(-4 + z) 43 + 5z = -8 + 2z + (-4 * 2 + z * 2) 43 + 5z = -8 + 2z + (-8 + 2z) Reorder the terms: 43 + 5z = -8 + -8 + 2z + 2z Combine like terms: -8 + -8 = -16 43 + 5z = -16 + 2z + 2z Combine like terms: 2z + 2z = 4z 43 + 5z = -16 + 4z Solving 43 + 5z = -16 + 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. 43 + 5z + -4z = -16 + 4z + -4z Combine like terms: 5z + -4z = 1z 43 + 1z = -16 + 4z + -4z Combine like terms: 4z + -4z = 0 43 + 1z = -16 + 0 43 + 1z = -16 Add '-43' to each side of the equation. 43 + -43 + 1z = -16 + -43 Combine like terms: 43 + -43 = 0 0 + 1z = -16 + -43 1z = -16 + -43 Combine like terms: -16 + -43 = -59 1z = -59 Divide each side by '1'. z = -59 Simplifying z = -59
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