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Simplifying -4n + -3(n + -4) = -5(n + 4) Reorder the terms: -4n + -3(-4 + n) = -5(n + 4) -4n + (-4 * -3 + n * -3) = -5(n + 4) -4n + (12 + -3n) = -5(n + 4) Reorder the terms: 12 + -4n + -3n = -5(n + 4) Combine like terms: -4n + -3n = -7n 12 + -7n = -5(n + 4) Reorder the terms: 12 + -7n = -5(4 + n) 12 + -7n = (4 * -5 + n * -5) 12 + -7n = (-20 + -5n) Solving 12 + -7n = -20 + -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. 12 + -7n + 5n = -20 + -5n + 5n Combine like terms: -7n + 5n = -2n 12 + -2n = -20 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + -2n = -20 + 0 12 + -2n = -20 Add '-12' to each side of the equation. 12 + -12 + -2n = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = -20 + -12 -2n = -20 + -12 Combine like terms: -20 + -12 = -32 -2n = -32 Divide each side by '-2'. n = 16 Simplifying n = 16
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