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Simplifying -31 + 4n = 7(n + -1) Reorder the terms: -31 + 4n = 7(-1 + n) -31 + 4n = (-1 * 7 + n * 7) -31 + 4n = (-7 + 7n) Solving -31 + 4n = -7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -31 + 4n + -7n = -7 + 7n + -7n Combine like terms: 4n + -7n = -3n -31 + -3n = -7 + 7n + -7n Combine like terms: 7n + -7n = 0 -31 + -3n = -7 + 0 -31 + -3n = -7 Add '31' to each side of the equation. -31 + 31 + -3n = -7 + 31 Combine like terms: -31 + 31 = 0 0 + -3n = -7 + 31 -3n = -7 + 31 Combine like terms: -7 + 31 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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