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Simplifying 3(2n + 1.25) = 6(3n + -4) Reorder the terms: 3(1.25 + 2n) = 6(3n + -4) (1.25 * 3 + 2n * 3) = 6(3n + -4) (3.75 + 6n) = 6(3n + -4) Reorder the terms: 3.75 + 6n = 6(-4 + 3n) 3.75 + 6n = (-4 * 6 + 3n * 6) 3.75 + 6n = (-24 + 18n) Solving 3.75 + 6n = -24 + 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. 3.75 + 6n + -18n = -24 + 18n + -18n Combine like terms: 6n + -18n = -12n 3.75 + -12n = -24 + 18n + -18n Combine like terms: 18n + -18n = 0 3.75 + -12n = -24 + 0 3.75 + -12n = -24 Add '-3.75' to each side of the equation. 3.75 + -3.75 + -12n = -24 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -12n = -24 + -3.75 -12n = -24 + -3.75 Combine like terms: -24 + -3.75 = -27.75 -12n = -27.75 Divide each side by '-12'. n = 2.3125 Simplifying n = 2.3125
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