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Simplifying 10 + -5(n) = 14 + 7(n) Solving 10 + -5n = 14 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 10 + -5n + -7n = 14 + 7n + -7n Combine like terms: -5n + -7n = -12n 10 + -12n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 10 + -12n = 14 + 0 10 + -12n = 14 Add '-10' to each side of the equation. 10 + -10 + -12n = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -12n = 14 + -10 -12n = 14 + -10 Combine like terms: 14 + -10 = 4 -12n = 4 Divide each side by '-12'. n = -0.3333333333 Simplifying n = -0.3333333333
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