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Simplifying 5(6Z + -1) + -3(Z + 7) = 10(Z + 1) Reorder the terms: 5(-1 + 6Z) + -3(Z + 7) = 10(Z + 1) (-1 * 5 + 6Z * 5) + -3(Z + 7) = 10(Z + 1) (-5 + 30Z) + -3(Z + 7) = 10(Z + 1) Reorder the terms: -5 + 30Z + -3(7 + Z) = 10(Z + 1) -5 + 30Z + (7 * -3 + Z * -3) = 10(Z + 1) -5 + 30Z + (-21 + -3Z) = 10(Z + 1) Reorder the terms: -5 + -21 + 30Z + -3Z = 10(Z + 1) Combine like terms: -5 + -21 = -26 -26 + 30Z + -3Z = 10(Z + 1) Combine like terms: 30Z + -3Z = 27Z -26 + 27Z = 10(Z + 1) Reorder the terms: -26 + 27Z = 10(1 + Z) -26 + 27Z = (1 * 10 + Z * 10) -26 + 27Z = (10 + 10Z) Solving -26 + 27Z = 10 + 10Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-10Z' to each side of the equation. -26 + 27Z + -10Z = 10 + 10Z + -10Z Combine like terms: 27Z + -10Z = 17Z -26 + 17Z = 10 + 10Z + -10Z Combine like terms: 10Z + -10Z = 0 -26 + 17Z = 10 + 0 -26 + 17Z = 10 Add '26' to each side of the equation. -26 + 26 + 17Z = 10 + 26 Combine like terms: -26 + 26 = 0 0 + 17Z = 10 + 26 17Z = 10 + 26 Combine like terms: 10 + 26 = 36 17Z = 36 Divide each side by '17'. Z = 2.117647059 Simplifying Z = 2.117647059
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