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Simplifying 8(12n + 11) = -8(1 + -6n) Reorder the terms: 8(11 + 12n) = -8(1 + -6n) (11 * 8 + 12n * 8) = -8(1 + -6n) (88 + 96n) = -8(1 + -6n) 88 + 96n = (1 * -8 + -6n * -8) 88 + 96n = (-8 + 48n) Solving 88 + 96n = -8 + 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. 88 + 96n + -48n = -8 + 48n + -48n Combine like terms: 96n + -48n = 48n 88 + 48n = -8 + 48n + -48n Combine like terms: 48n + -48n = 0 88 + 48n = -8 + 0 88 + 48n = -8 Add '-88' to each side of the equation. 88 + -88 + 48n = -8 + -88 Combine like terms: 88 + -88 = 0 0 + 48n = -8 + -88 48n = -8 + -88 Combine like terms: -8 + -88 = -96 48n = -96 Divide each side by '48'. n = -2 Simplifying n = -2
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