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Simplifying 3(n + -4) + -1 = -5(-1n + 5) Reorder the terms: 3(-4 + n) + -1 = -5(-1n + 5) (-4 * 3 + n * 3) + -1 = -5(-1n + 5) (-12 + 3n) + -1 = -5(-1n + 5) Reorder the terms: -12 + -1 + 3n = -5(-1n + 5) Combine like terms: -12 + -1 = -13 -13 + 3n = -5(-1n + 5) Reorder the terms: -13 + 3n = -5(5 + -1n) -13 + 3n = (5 * -5 + -1n * -5) -13 + 3n = (-25 + 5n) Solving -13 + 3n = -25 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -13 + 3n + -5n = -25 + 5n + -5n Combine like terms: 3n + -5n = -2n -13 + -2n = -25 + 5n + -5n Combine like terms: 5n + -5n = 0 -13 + -2n = -25 + 0 -13 + -2n = -25 Add '13' to each side of the equation. -13 + 13 + -2n = -25 + 13 Combine like terms: -13 + 13 = 0 0 + -2n = -25 + 13 -2n = -25 + 13 Combine like terms: -25 + 13 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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