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Simplifying 2(12n + -6) = 6(-4 + 5n) + 18n Reorder the terms: 2(-6 + 12n) = 6(-4 + 5n) + 18n (-6 * 2 + 12n * 2) = 6(-4 + 5n) + 18n (-12 + 24n) = 6(-4 + 5n) + 18n -12 + 24n = (-4 * 6 + 5n * 6) + 18n -12 + 24n = (-24 + 30n) + 18n Combine like terms: 30n + 18n = 48n -12 + 24n = -24 + 48n Solving -12 + 24n = -24 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. -12 + 24n + -48n = -24 + 48n + -48n Combine like terms: 24n + -48n = -24n -12 + -24n = -24 + 48n + -48n Combine like terms: 48n + -48n = 0 -12 + -24n = -24 + 0 -12 + -24n = -24 Add '12' to each side of the equation. -12 + 12 + -24n = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -24n = -24 + 12 -24n = -24 + 12 Combine like terms: -24 + 12 = -12 -24n = -12 Divide each side by '-24'. n = 0.5 Simplifying n = 0.5
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