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Simplifying -6(-8 + 4n) = 5(n + -2) (-8 * -6 + 4n * -6) = 5(n + -2) (48 + -24n) = 5(n + -2) Reorder the terms: 48 + -24n = 5(-2 + n) 48 + -24n = (-2 * 5 + n * 5) 48 + -24n = (-10 + 5n) Solving 48 + -24n = -10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 48 + -24n + -5n = -10 + 5n + -5n Combine like terms: -24n + -5n = -29n 48 + -29n = -10 + 5n + -5n Combine like terms: 5n + -5n = 0 48 + -29n = -10 + 0 48 + -29n = -10 Add '-48' to each side of the equation. 48 + -48 + -29n = -10 + -48 Combine like terms: 48 + -48 = 0 0 + -29n = -10 + -48 -29n = -10 + -48 Combine like terms: -10 + -48 = -58 -29n = -58 Divide each side by '-29'. n = 2 Simplifying n = 2
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