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Simplifying 10 = 40(n + -1) + -14(2n + 5) Reorder the terms: 10 = 40(-1 + n) + -14(2n + 5) 10 = (-1 * 40 + n * 40) + -14(2n + 5) 10 = (-40 + 40n) + -14(2n + 5) Reorder the terms: 10 = -40 + 40n + -14(5 + 2n) 10 = -40 + 40n + (5 * -14 + 2n * -14) 10 = -40 + 40n + (-70 + -28n) Reorder the terms: 10 = -40 + -70 + 40n + -28n Combine like terms: -40 + -70 = -110 10 = -110 + 40n + -28n Combine like terms: 40n + -28n = 12n 10 = -110 + 12n Solving 10 = -110 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 10 + -12n = -110 + 12n + -12n Combine like terms: 12n + -12n = 0 10 + -12n = -110 + 0 10 + -12n = -110 Add '-10' to each side of the equation. 10 + -10 + -12n = -110 + -10 Combine like terms: 10 + -10 = 0 0 + -12n = -110 + -10 -12n = -110 + -10 Combine like terms: -110 + -10 = -120 -12n = -120 Divide each side by '-12'. n = 10 Simplifying n = 10
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