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Simplifying 275 = -5 + -8(1 + 6n) 275 = -5 + (1 * -8 + 6n * -8) 275 = -5 + (-8 + -48n) Combine like terms: -5 + -8 = -13 275 = -13 + -48n Solving 275 = -13 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 275 + 48n = -13 + -48n + 48n Combine like terms: -48n + 48n = 0 275 + 48n = -13 + 0 275 + 48n = -13 Add '-275' to each side of the equation. 275 + -275 + 48n = -13 + -275 Combine like terms: 275 + -275 = 0 0 + 48n = -13 + -275 48n = -13 + -275 Combine like terms: -13 + -275 = -288 48n = -288 Divide each side by '48'. n = -6 Simplifying n = -6
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