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Simplifying -3(n + -4) = 5 + -2n Reorder the terms: -3(-4 + n) = 5 + -2n (-4 * -3 + n * -3) = 5 + -2n (12 + -3n) = 5 + -2n Solving 12 + -3n = 5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 12 + -3n + 2n = 5 + -2n + 2n Combine like terms: -3n + 2n = -1n 12 + -1n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 12 + -1n = 5 + 0 12 + -1n = 5 Add '-12' to each side of the equation. 12 + -12 + -1n = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 5 + -12 -1n = 5 + -12 Combine like terms: 5 + -12 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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