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Simplifying -2(n + 1) = 3 + -1(n + -4) Reorder the terms: -2(1 + n) = 3 + -1(n + -4) (1 * -2 + n * -2) = 3 + -1(n + -4) (-2 + -2n) = 3 + -1(n + -4) Reorder the terms: -2 + -2n = 3 + -1(-4 + n) -2 + -2n = 3 + (-4 * -1 + n * -1) -2 + -2n = 3 + (4 + -1n) Combine like terms: 3 + 4 = 7 -2 + -2n = 7 + -1n Solving -2 + -2n = 7 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -2 + -2n + n = 7 + -1n + n Combine like terms: -2n + n = -1n -2 + -1n = 7 + -1n + n Combine like terms: -1n + n = 0 -2 + -1n = 7 + 0 -2 + -1n = 7 Add '2' to each side of the equation. -2 + 2 + -1n = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 7 + 2 -1n = 7 + 2 Combine like terms: 7 + 2 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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