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Simplifying -3(n + -6) = 13(n + -4) + 7 Reorder the terms: -3(-6 + n) = 13(n + -4) + 7 (-6 * -3 + n * -3) = 13(n + -4) + 7 (18 + -3n) = 13(n + -4) + 7 Reorder the terms: 18 + -3n = 13(-4 + n) + 7 18 + -3n = (-4 * 13 + n * 13) + 7 18 + -3n = (-52 + 13n) + 7 Reorder the terms: 18 + -3n = -52 + 7 + 13n Combine like terms: -52 + 7 = -45 18 + -3n = -45 + 13n Solving 18 + -3n = -45 + 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 = -45 + 13n + -13n Combine like terms: -3n + -13n = -16n 18 + -16n = -45 + 13n + -13n Combine like terms: 13n + -13n = 0 18 + -16n = -45 + 0 18 + -16n = -45 Add '-18' to each side of the equation. 18 + -18 + -16n = -45 + -18 Combine like terms: 18 + -18 = 0 0 + -16n = -45 + -18 -16n = -45 + -18 Combine like terms: -45 + -18 = -63 -16n = -63 Divide each side by '-16'. n = 3.9375 Simplifying n = 3.9375
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