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Simplifying -3n + -31 = -8(4n + -7) Reorder the terms: -31 + -3n = -8(4n + -7) Reorder the terms: -31 + -3n = -8(-7 + 4n) -31 + -3n = (-7 * -8 + 4n * -8) -31 + -3n = (56 + -32n) Solving -31 + -3n = 56 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -31 + -3n + 32n = 56 + -32n + 32n Combine like terms: -3n + 32n = 29n -31 + 29n = 56 + -32n + 32n Combine like terms: -32n + 32n = 0 -31 + 29n = 56 + 0 -31 + 29n = 56 Add '31' to each side of the equation. -31 + 31 + 29n = 56 + 31 Combine like terms: -31 + 31 = 0 0 + 29n = 56 + 31 29n = 56 + 31 Combine like terms: 56 + 31 = 87 29n = 87 Divide each side by '29'. n = 3 Simplifying n = 3
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