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Simplifying -2(n + -4) = -3(n + -7) Reorder the terms: -2(-4 + n) = -3(n + -7) (-4 * -2 + n * -2) = -3(n + -7) (8 + -2n) = -3(n + -7) Reorder the terms: 8 + -2n = -3(-7 + n) 8 + -2n = (-7 * -3 + n * -3) 8 + -2n = (21 + -3n) Solving 8 + -2n = 21 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 8 + -2n + 3n = 21 + -3n + 3n Combine like terms: -2n + 3n = 1n 8 + 1n = 21 + -3n + 3n Combine like terms: -3n + 3n = 0 8 + 1n = 21 + 0 8 + 1n = 21 Add '-8' to each side of the equation. 8 + -8 + 1n = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 21 + -8 1n = 21 + -8 Combine like terms: 21 + -8 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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