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Simplifying 3(n + -2) + -4(n + -1) = n + 13 Reorder the terms: 3(-2 + n) + -4(n + -1) = n + 13 (-2 * 3 + n * 3) + -4(n + -1) = n + 13 (-6 + 3n) + -4(n + -1) = n + 13 Reorder the terms: -6 + 3n + -4(-1 + n) = n + 13 -6 + 3n + (-1 * -4 + n * -4) = n + 13 -6 + 3n + (4 + -4n) = n + 13 Reorder the terms: -6 + 4 + 3n + -4n = n + 13 Combine like terms: -6 + 4 = -2 -2 + 3n + -4n = n + 13 Combine like terms: 3n + -4n = -1n -2 + -1n = n + 13 Reorder the terms: -2 + -1n = 13 + n Solving -2 + -1n = 13 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + -1n + -1n = 13 + n + -1n Combine like terms: -1n + -1n = -2n -2 + -2n = 13 + n + -1n Combine like terms: n + -1n = 0 -2 + -2n = 13 + 0 -2 + -2n = 13 Add '2' to each side of the equation. -2 + 2 + -2n = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 13 + 2 -2n = 13 + 2 Combine like terms: 13 + 2 = 15 -2n = 15 Divide each side by '-2'. n = -7.5 Simplifying n = -7.5
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