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Simplifying 9(Z + 4) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3) Reorder the terms: 9(4 + Z) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3) (4 * 9 + Z * 9) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3) (36 + 9Z) + -2(Z + -1) = 2(Z + -4) + 4(Z + -3) Reorder the terms: 36 + 9Z + -2(-1 + Z) = 2(Z + -4) + 4(Z + -3) 36 + 9Z + (-1 * -2 + Z * -2) = 2(Z + -4) + 4(Z + -3) 36 + 9Z + (2 + -2Z) = 2(Z + -4) + 4(Z + -3) Reorder the terms: 36 + 2 + 9Z + -2Z = 2(Z + -4) + 4(Z + -3) Combine like terms: 36 + 2 = 38 38 + 9Z + -2Z = 2(Z + -4) + 4(Z + -3) Combine like terms: 9Z + -2Z = 7Z 38 + 7Z = 2(Z + -4) + 4(Z + -3) Reorder the terms: 38 + 7Z = 2(-4 + Z) + 4(Z + -3) 38 + 7Z = (-4 * 2 + Z * 2) + 4(Z + -3) 38 + 7Z = (-8 + 2Z) + 4(Z + -3) Reorder the terms: 38 + 7Z = -8 + 2Z + 4(-3 + Z) 38 + 7Z = -8 + 2Z + (-3 * 4 + Z * 4) 38 + 7Z = -8 + 2Z + (-12 + 4Z) Reorder the terms: 38 + 7Z = -8 + -12 + 2Z + 4Z Combine like terms: -8 + -12 = -20 38 + 7Z = -20 + 2Z + 4Z Combine like terms: 2Z + 4Z = 6Z 38 + 7Z = -20 + 6Z Solving 38 + 7Z = -20 + 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. 38 + 7Z + -6Z = -20 + 6Z + -6Z Combine like terms: 7Z + -6Z = 1Z 38 + 1Z = -20 + 6Z + -6Z Combine like terms: 6Z + -6Z = 0 38 + 1Z = -20 + 0 38 + 1Z = -20 Add '-38' to each side of the equation. 38 + -38 + 1Z = -20 + -38 Combine like terms: 38 + -38 = 0 0 + 1Z = -20 + -38 1Z = -20 + -38 Combine like terms: -20 + -38 = -58 1Z = -58 Divide each side by '1'. Z = -58 Simplifying Z = -58
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