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Simplifying 3(4n + -6) + 4(3n + 1) + -10 = 0 Reorder the terms: 3(-6 + 4n) + 4(3n + 1) + -10 = 0 (-6 * 3 + 4n * 3) + 4(3n + 1) + -10 = 0 (-18 + 12n) + 4(3n + 1) + -10 = 0 Reorder the terms: -18 + 12n + 4(1 + 3n) + -10 = 0 -18 + 12n + (1 * 4 + 3n * 4) + -10 = 0 -18 + 12n + (4 + 12n) + -10 = 0 Reorder the terms: -18 + 4 + -10 + 12n + 12n = 0 Combine like terms: -18 + 4 = -14 -14 + -10 + 12n + 12n = 0 Combine like terms: -14 + -10 = -24 -24 + 12n + 12n = 0 Combine like terms: 12n + 12n = 24n -24 + 24n = 0 Solving -24 + 24n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 24n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 24n = 0 + 24 24n = 0 + 24 Combine like terms: 0 + 24 = 24 24n = 24 Divide each side by '24'. n = 1 Simplifying n = 1
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