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Simplifying -199 = -7(5n + -7) + 4n Reorder the terms: -199 = -7(-7 + 5n) + 4n -199 = (-7 * -7 + 5n * -7) + 4n -199 = (49 + -35n) + 4n Combine like terms: -35n + 4n = -31n -199 = 49 + -31n Solving -199 = 49 + -31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31n' to each side of the equation. -199 + 31n = 49 + -31n + 31n Combine like terms: -31n + 31n = 0 -199 + 31n = 49 + 0 -199 + 31n = 49 Add '199' to each side of the equation. -199 + 199 + 31n = 49 + 199 Combine like terms: -199 + 199 = 0 0 + 31n = 49 + 199 31n = 49 + 199 Combine like terms: 49 + 199 = 248 31n = 248 Divide each side by '31'. n = 8 Simplifying n = 8
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