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Simplifying -6 + 3(n + -4) = -13 + 2n Reorder the terms: -6 + 3(-4 + n) = -13 + 2n -6 + (-4 * 3 + n * 3) = -13 + 2n -6 + (-12 + 3n) = -13 + 2n Combine like terms: -6 + -12 = -18 -18 + 3n = -13 + 2n Solving -18 + 3n = -13 + 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. -18 + 3n + -2n = -13 + 2n + -2n Combine like terms: 3n + -2n = 1n -18 + 1n = -13 + 2n + -2n Combine like terms: 2n + -2n = 0 -18 + 1n = -13 + 0 -18 + 1n = -13 Add '18' to each side of the equation. -18 + 18 + 1n = -13 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = -13 + 18 1n = -13 + 18 Combine like terms: -13 + 18 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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