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Simplifying 4(n + -1) + -3 = -2n + -31 Reorder the terms: 4(-1 + n) + -3 = -2n + -31 (-1 * 4 + n * 4) + -3 = -2n + -31 (-4 + 4n) + -3 = -2n + -31 Reorder the terms: -4 + -3 + 4n = -2n + -31 Combine like terms: -4 + -3 = -7 -7 + 4n = -2n + -31 Reorder the terms: -7 + 4n = -31 + -2n Solving -7 + 4n = -31 + -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. -7 + 4n + 2n = -31 + -2n + 2n Combine like terms: 4n + 2n = 6n -7 + 6n = -31 + -2n + 2n Combine like terms: -2n + 2n = 0 -7 + 6n = -31 + 0 -7 + 6n = -31 Add '7' to each side of the equation. -7 + 7 + 6n = -31 + 7 Combine like terms: -7 + 7 = 0 0 + 6n = -31 + 7 6n = -31 + 7 Combine like terms: -31 + 7 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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