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Simplifying -31 + -4n = -5 + -5(1 + 5n) -31 + -4n = -5 + (1 * -5 + 5n * -5) -31 + -4n = -5 + (-5 + -25n) Combine like terms: -5 + -5 = -10 -31 + -4n = -10 + -25n Solving -31 + -4n = -10 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. -31 + -4n + 25n = -10 + -25n + 25n Combine like terms: -4n + 25n = 21n -31 + 21n = -10 + -25n + 25n Combine like terms: -25n + 25n = 0 -31 + 21n = -10 + 0 -31 + 21n = -10 Add '31' to each side of the equation. -31 + 31 + 21n = -10 + 31 Combine like terms: -31 + 31 = 0 0 + 21n = -10 + 31 21n = -10 + 31 Combine like terms: -10 + 31 = 21 21n = 21 Divide each side by '21'. n = 1 Simplifying n = 1
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