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Simplifying -107 = -5(5n + -1) + -3n Reorder the terms: -107 = -5(-1 + 5n) + -3n -107 = (-1 * -5 + 5n * -5) + -3n -107 = (5 + -25n) + -3n Combine like terms: -25n + -3n = -28n -107 = 5 + -28n Solving -107 = 5 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -107 + 28n = 5 + -28n + 28n Combine like terms: -28n + 28n = 0 -107 + 28n = 5 + 0 -107 + 28n = 5 Add '107' to each side of the equation. -107 + 107 + 28n = 5 + 107 Combine like terms: -107 + 107 = 0 0 + 28n = 5 + 107 28n = 5 + 107 Combine like terms: 5 + 107 = 112 28n = 112 Divide each side by '28'. n = 4 Simplifying n = 4
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