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Simplifying 12(n + -2) = -4(n + 10) Reorder the terms: 12(-2 + n) = -4(n + 10) (-2 * 12 + n * 12) = -4(n + 10) (-24 + 12n) = -4(n + 10) Reorder the terms: -24 + 12n = -4(10 + n) -24 + 12n = (10 * -4 + n * -4) -24 + 12n = (-40 + -4n) Solving -24 + 12n = -40 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -24 + 12n + 4n = -40 + -4n + 4n Combine like terms: 12n + 4n = 16n -24 + 16n = -40 + -4n + 4n Combine like terms: -4n + 4n = 0 -24 + 16n = -40 + 0 -24 + 16n = -40 Add '24' to each side of the equation. -24 + 24 + 16n = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 16n = -40 + 24 16n = -40 + 24 Combine like terms: -40 + 24 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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