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Simplifying -3(1 + n) + -2n = -6(n + -2) (1 * -3 + n * -3) + -2n = -6(n + -2) (-3 + -3n) + -2n = -6(n + -2) Combine like terms: -3n + -2n = -5n -3 + -5n = -6(n + -2) Reorder the terms: -3 + -5n = -6(-2 + n) -3 + -5n = (-2 * -6 + n * -6) -3 + -5n = (12 + -6n) Solving -3 + -5n = 12 + -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. -3 + -5n + 6n = 12 + -6n + 6n Combine like terms: -5n + 6n = 1n -3 + 1n = 12 + -6n + 6n Combine like terms: -6n + 6n = 0 -3 + 1n = 12 + 0 -3 + 1n = 12 Add '3' to each side of the equation. -3 + 3 + 1n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 1n = 12 + 3 1n = 12 + 3 Combine like terms: 12 + 3 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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