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Simplifying 6(8 + -3n) = -32 + -2n (8 * 6 + -3n * 6) = -32 + -2n (48 + -18n) = -32 + -2n Solving 48 + -18n = -32 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 48 + -18n + 2n = -32 + -2n + 2n Combine like terms: -18n + 2n = -16n 48 + -16n = -32 + -2n + 2n Combine like terms: -2n + 2n = 0 48 + -16n = -32 + 0 48 + -16n = -32 Add '-48' to each side of the equation. 48 + -48 + -16n = -32 + -48 Combine like terms: 48 + -48 = 0 0 + -16n = -32 + -48 -16n = -32 + -48 Combine like terms: -32 + -48 = -80 -16n = -80 Divide each side by '-16'. n = 5 Simplifying n = 5
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