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Simplifying 4(6Z + -1) + -3Z + 7 = 2(Z + 1) Reorder the terms: 4(-1 + 6Z) + -3Z + 7 = 2(Z + 1) (-1 * 4 + 6Z * 4) + -3Z + 7 = 2(Z + 1) (-4 + 24Z) + -3Z + 7 = 2(Z + 1) Reorder the terms: -4 + 7 + 24Z + -3Z = 2(Z + 1) Combine like terms: -4 + 7 = 3 3 + 24Z + -3Z = 2(Z + 1) Combine like terms: 24Z + -3Z = 21Z 3 + 21Z = 2(Z + 1) Reorder the terms: 3 + 21Z = 2(1 + Z) 3 + 21Z = (1 * 2 + Z * 2) 3 + 21Z = (2 + 2Z) Solving 3 + 21Z = 2 + 2Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-2Z' to each side of the equation. 3 + 21Z + -2Z = 2 + 2Z + -2Z Combine like terms: 21Z + -2Z = 19Z 3 + 19Z = 2 + 2Z + -2Z Combine like terms: 2Z + -2Z = 0 3 + 19Z = 2 + 0 3 + 19Z = 2 Add '-3' to each side of the equation. 3 + -3 + 19Z = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 19Z = 2 + -3 19Z = 2 + -3 Combine like terms: 2 + -3 = -1 19Z = -1 Divide each side by '19'. Z = -0.05263157895 Simplifying Z = -0.05263157895
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