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Simplifying 19 = -8(2n + -5) + -7(-6n + 3) Reorder the terms: 19 = -8(-5 + 2n) + -7(-6n + 3) 19 = (-5 * -8 + 2n * -8) + -7(-6n + 3) 19 = (40 + -16n) + -7(-6n + 3) Reorder the terms: 19 = 40 + -16n + -7(3 + -6n) 19 = 40 + -16n + (3 * -7 + -6n * -7) 19 = 40 + -16n + (-21 + 42n) Reorder the terms: 19 = 40 + -21 + -16n + 42n Combine like terms: 40 + -21 = 19 19 = 19 + -16n + 42n Combine like terms: -16n + 42n = 26n 19 = 19 + 26n Add '-19' to each side of the equation. 19 + -19 = 19 + -19 + 26n Combine like terms: 19 + -19 = 0 0 = 19 + -19 + 26n Combine like terms: 19 + -19 = 0 0 = 0 + 26n 0 = 26n Solving 0 = 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. 0 + -26n = 26n + -26n Remove the zero: -26n = 26n + -26n Combine like terms: 26n + -26n = 0 -26n = 0 Divide each side by '-26'. n = 0 Simplifying n = 0
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