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Simplifying -13 + 5n = 8(6n + -7) Reorder the terms: -13 + 5n = 8(-7 + 6n) -13 + 5n = (-7 * 8 + 6n * 8) -13 + 5n = (-56 + 48n) Solving -13 + 5n = -56 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. -13 + 5n + -48n = -56 + 48n + -48n Combine like terms: 5n + -48n = -43n -13 + -43n = -56 + 48n + -48n Combine like terms: 48n + -48n = 0 -13 + -43n = -56 + 0 -13 + -43n = -56 Add '13' to each side of the equation. -13 + 13 + -43n = -56 + 13 Combine like terms: -13 + 13 = 0 0 + -43n = -56 + 13 -43n = -56 + 13 Combine like terms: -56 + 13 = -43 -43n = -43 Divide each side by '-43'. n = 1 Simplifying n = 1
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