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Simplifying -3(1 + 2n) + 6n = 6n + -9 (1 * -3 + 2n * -3) + 6n = 6n + -9 (-3 + -6n) + 6n = 6n + -9 Combine like terms: -6n + 6n = 0 -3 + 0 = 6n + -9 -3 = 6n + -9 Reorder the terms: -3 = -9 + 6n Solving -3 = -9 + 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 + -6n = -9 + 6n + -6n Combine like terms: 6n + -6n = 0 -3 + -6n = -9 + 0 -3 + -6n = -9 Add '3' to each side of the equation. -3 + 3 + -6n = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -6n = -9 + 3 -6n = -9 + 3 Combine like terms: -9 + 3 = -6 -6n = -6 Divide each side by '-6'. n = 1 Simplifying n = 1
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