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Simplifying 4(5n + -2) + -6(3n + -1) = 12 Reorder the terms: 4(-2 + 5n) + -6(3n + -1) = 12 (-2 * 4 + 5n * 4) + -6(3n + -1) = 12 (-8 + 20n) + -6(3n + -1) = 12 Reorder the terms: -8 + 20n + -6(-1 + 3n) = 12 -8 + 20n + (-1 * -6 + 3n * -6) = 12 -8 + 20n + (6 + -18n) = 12 Reorder the terms: -8 + 6 + 20n + -18n = 12 Combine like terms: -8 + 6 = -2 -2 + 20n + -18n = 12 Combine like terms: 20n + -18n = 2n -2 + 2n = 12 Solving -2 + 2n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 12 + 2 2n = 12 + 2 Combine like terms: 12 + 2 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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