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Simplifying -3(n + -6) = -5(-2n + 6) + 3n Reorder the terms: -3(-6 + n) = -5(-2n + 6) + 3n (-6 * -3 + n * -3) = -5(-2n + 6) + 3n (18 + -3n) = -5(-2n + 6) + 3n Reorder the terms: 18 + -3n = -5(6 + -2n) + 3n 18 + -3n = (6 * -5 + -2n * -5) + 3n 18 + -3n = (-30 + 10n) + 3n Combine like terms: 10n + 3n = 13n 18 + -3n = -30 + 13n Solving 18 + -3n = -30 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 18 + -3n + -13n = -30 + 13n + -13n Combine like terms: -3n + -13n = -16n 18 + -16n = -30 + 13n + -13n Combine like terms: 13n + -13n = 0 18 + -16n = -30 + 0 18 + -16n = -30 Add '-18' to each side of the equation. 18 + -18 + -16n = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -16n = -30 + -18 -16n = -30 + -18 Combine like terms: -30 + -18 = -48 -16n = -48 Divide each side by '-16'. n = 3 Simplifying n = 3
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