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Simplifying -3(2n + -4) = 4n + -1(5n + -6) Reorder the terms: -3(-4 + 2n) = 4n + -1(5n + -6) (-4 * -3 + 2n * -3) = 4n + -1(5n + -6) (12 + -6n) = 4n + -1(5n + -6) Reorder the terms: 12 + -6n = 4n + -1(-6 + 5n) 12 + -6n = 4n + (-6 * -1 + 5n * -1) 12 + -6n = 4n + (6 + -5n) Reorder the terms: 12 + -6n = 6 + 4n + -5n Combine like terms: 4n + -5n = -1n 12 + -6n = 6 + -1n Solving 12 + -6n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 12 + -6n + n = 6 + -1n + n Combine like terms: -6n + n = -5n 12 + -5n = 6 + -1n + n Combine like terms: -1n + n = 0 12 + -5n = 6 + 0 12 + -5n = 6 Add '-12' to each side of the equation. 12 + -12 + -5n = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -5n = 6 + -12 -5n = 6 + -12 Combine like terms: 6 + -12 = -6 -5n = -6 Divide each side by '-5'. n = 1.2 Simplifying n = 1.2
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