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Simplifying 199 = -5n + -8(6n + -5) Reorder the terms: 199 = -5n + -8(-5 + 6n) 199 = -5n + (-5 * -8 + 6n * -8) 199 = -5n + (40 + -48n) Reorder the terms: 199 = 40 + -5n + -48n Combine like terms: -5n + -48n = -53n 199 = 40 + -53n Solving 199 = 40 + -53n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '53n' to each side of the equation. 199 + 53n = 40 + -53n + 53n Combine like terms: -53n + 53n = 0 199 + 53n = 40 + 0 199 + 53n = 40 Add '-199' to each side of the equation. 199 + -199 + 53n = 40 + -199 Combine like terms: 199 + -199 = 0 0 + 53n = 40 + -199 53n = 40 + -199 Combine like terms: 40 + -199 = -159 53n = -159 Divide each side by '53'. n = -3 Simplifying n = -3
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