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Simplifying 5(4n + -2) = 3(12n + -6) Reorder the terms: 5(-2 + 4n) = 3(12n + -6) (-2 * 5 + 4n * 5) = 3(12n + -6) (-10 + 20n) = 3(12n + -6) Reorder the terms: -10 + 20n = 3(-6 + 12n) -10 + 20n = (-6 * 3 + 12n * 3) -10 + 20n = (-18 + 36n) Solving -10 + 20n = -18 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. -10 + 20n + -36n = -18 + 36n + -36n Combine like terms: 20n + -36n = -16n -10 + -16n = -18 + 36n + -36n Combine like terms: 36n + -36n = 0 -10 + -16n = -18 + 0 -10 + -16n = -18 Add '10' to each side of the equation. -10 + 10 + -16n = -18 + 10 Combine like terms: -10 + 10 = 0 0 + -16n = -18 + 10 -16n = -18 + 10 Combine like terms: -18 + 10 = -8 -16n = -8 Divide each side by '-16'. n = 0.5 Simplifying n = 0.5
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