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