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Simplifying 3 + -4(Z + 1) = 3 + -1(2 + Z) Reorder the terms: 3 + -4(1 + Z) = 3 + -1(2 + Z) 3 + (1 * -4 + Z * -4) = 3 + -1(2 + Z) 3 + (-4 + -4Z) = 3 + -1(2 + Z) Combine like terms: 3 + -4 = -1 -1 + -4Z = 3 + -1(2 + Z) -1 + -4Z = 3 + (2 * -1 + Z * -1) -1 + -4Z = 3 + (-2 + -1Z) Combine like terms: 3 + -2 = 1 -1 + -4Z = 1 + -1Z Solving -1 + -4Z = 1 + -1Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add 'Z' to each side of the equation. -1 + -4Z + Z = 1 + -1Z + Z Combine like terms: -4Z + Z = -3Z -1 + -3Z = 1 + -1Z + Z Combine like terms: -1Z + Z = 0 -1 + -3Z = 1 + 0 -1 + -3Z = 1 Add '1' to each side of the equation. -1 + 1 + -3Z = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -3Z = 1 + 1 -3Z = 1 + 1 Combine like terms: 1 + 1 = 2 -3Z = 2 Divide each side by '-3'. Z = -0.6666666667 Simplifying Z = -0.6666666667
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