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Simplifying 1 + -1(n + 4) + -1(12 + -3n) = 4n + -5 Reorder the terms: 1 + -1(4 + n) + -1(12 + -3n) = 4n + -5 1 + (4 * -1 + n * -1) + -1(12 + -3n) = 4n + -5 1 + (-4 + -1n) + -1(12 + -3n) = 4n + -5 1 + -4 + -1n + (12 * -1 + -3n * -1) = 4n + -5 1 + -4 + -1n + (-12 + 3n) = 4n + -5 Reorder the terms: 1 + -4 + -12 + -1n + 3n = 4n + -5 Combine like terms: 1 + -4 = -3 -3 + -12 + -1n + 3n = 4n + -5 Combine like terms: -3 + -12 = -15 -15 + -1n + 3n = 4n + -5 Combine like terms: -1n + 3n = 2n -15 + 2n = 4n + -5 Reorder the terms: -15 + 2n = -5 + 4n Solving -15 + 2n = -5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -15 + 2n + -4n = -5 + 4n + -4n Combine like terms: 2n + -4n = -2n -15 + -2n = -5 + 4n + -4n Combine like terms: 4n + -4n = 0 -15 + -2n = -5 + 0 -15 + -2n = -5 Add '15' to each side of the equation. -15 + 15 + -2n = -5 + 15 Combine like terms: -15 + 15 = 0 0 + -2n = -5 + 15 -2n = -5 + 15 Combine like terms: -5 + 15 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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