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Simplifying 3(n + -1) = -2(n + 4) + 6(n + -3) Reorder the terms: 3(-1 + n) = -2(n + 4) + 6(n + -3) (-1 * 3 + n * 3) = -2(n + 4) + 6(n + -3) (-3 + 3n) = -2(n + 4) + 6(n + -3) Reorder the terms: -3 + 3n = -2(4 + n) + 6(n + -3) -3 + 3n = (4 * -2 + n * -2) + 6(n + -3) -3 + 3n = (-8 + -2n) + 6(n + -3) Reorder the terms: -3 + 3n = -8 + -2n + 6(-3 + n) -3 + 3n = -8 + -2n + (-3 * 6 + n * 6) -3 + 3n = -8 + -2n + (-18 + 6n) Reorder the terms: -3 + 3n = -8 + -18 + -2n + 6n Combine like terms: -8 + -18 = -26 -3 + 3n = -26 + -2n + 6n Combine like terms: -2n + 6n = 4n -3 + 3n = -26 + 4n Solving -3 + 3n = -26 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -3 + 3n + -4n = -26 + 4n + -4n Combine like terms: 3n + -4n = -1n -3 + -1n = -26 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + -1n = -26 + 0 -3 + -1n = -26 Add '3' to each side of the equation. -3 + 3 + -1n = -26 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = -26 + 3 -1n = -26 + 3 Combine like terms: -26 + 3 = -23 -1n = -23 Divide each side by '-1'. n = 23 Simplifying n = 23
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