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Simplifying 2(n + -1) = 3(n + 4) Reorder the terms: 2(-1 + n) = 3(n + 4) (-1 * 2 + n * 2) = 3(n + 4) (-2 + 2n) = 3(n + 4) Reorder the terms: -2 + 2n = 3(4 + n) -2 + 2n = (4 * 3 + n * 3) -2 + 2n = (12 + 3n) Solving -2 + 2n = 12 + 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. -2 + 2n + -3n = 12 + 3n + -3n Combine like terms: 2n + -3n = -1n -2 + -1n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -2 + -1n = 12 + 0 -2 + -1n = 12 Add '2' to each side of the equation. -2 + 2 + -1n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 12 + 2 -1n = 12 + 2 Combine like terms: 12 + 2 = 14 -1n = 14 Divide each side by '-1'. n = -14 Simplifying n = -14
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