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Simplifying -31 + n = 2 + 3(-7 + -1n) -31 + n = 2 + (-7 * 3 + -1n * 3) -31 + n = 2 + (-21 + -3n) Combine like terms: 2 + -21 = -19 -31 + n = -19 + -3n Solving -31 + n = -19 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -31 + n + 3n = -19 + -3n + 3n Combine like terms: n + 3n = 4n -31 + 4n = -19 + -3n + 3n Combine like terms: -3n + 3n = 0 -31 + 4n = -19 + 0 -31 + 4n = -19 Add '31' to each side of the equation. -31 + 31 + 4n = -19 + 31 Combine like terms: -31 + 31 = 0 0 + 4n = -19 + 31 4n = -19 + 31 Combine like terms: -19 + 31 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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