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Simplifying 5n + 3(-4n + -6) = -1(6n + -2) + -5 Reorder the terms: 5n + 3(-6 + -4n) = -1(6n + -2) + -5 5n + (-6 * 3 + -4n * 3) = -1(6n + -2) + -5 5n + (-18 + -12n) = -1(6n + -2) + -5 Reorder the terms: -18 + 5n + -12n = -1(6n + -2) + -5 Combine like terms: 5n + -12n = -7n -18 + -7n = -1(6n + -2) + -5 Reorder the terms: -18 + -7n = -1(-2 + 6n) + -5 -18 + -7n = (-2 * -1 + 6n * -1) + -5 -18 + -7n = (2 + -6n) + -5 Reorder the terms: -18 + -7n = 2 + -5 + -6n Combine like terms: 2 + -5 = -3 -18 + -7n = -3 + -6n Solving -18 + -7n = -3 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -18 + -7n + 6n = -3 + -6n + 6n Combine like terms: -7n + 6n = -1n -18 + -1n = -3 + -6n + 6n Combine like terms: -6n + 6n = 0 -18 + -1n = -3 + 0 -18 + -1n = -3 Add '18' to each side of the equation. -18 + 18 + -1n = -3 + 18 Combine like terms: -18 + 18 = 0 0 + -1n = -3 + 18 -1n = -3 + 18 Combine like terms: -3 + 18 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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