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Simplifying 2(n + 2) = -3(-6n + 4) Reorder the terms: 2(2 + n) = -3(-6n + 4) (2 * 2 + n * 2) = -3(-6n + 4) (4 + 2n) = -3(-6n + 4) Reorder the terms: 4 + 2n = -3(4 + -6n) 4 + 2n = (4 * -3 + -6n * -3) 4 + 2n = (-12 + 18n) Solving 4 + 2n = -12 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 4 + 2n + -18n = -12 + 18n + -18n Combine like terms: 2n + -18n = -16n 4 + -16n = -12 + 18n + -18n Combine like terms: 18n + -18n = 0 4 + -16n = -12 + 0 4 + -16n = -12 Add '-4' to each side of the equation. 4 + -4 + -16n = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -16n = -12 + -4 -16n = -12 + -4 Combine like terms: -12 + -4 = -16 -16n = -16 Divide each side by '-16'. n = 1 Simplifying n = 1
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