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Simplifying -8 + 2(1 + 2n) = 6n + -3(n + 3) -8 + (1 * 2 + 2n * 2) = 6n + -3(n + 3) -8 + (2 + 4n) = 6n + -3(n + 3) Combine like terms: -8 + 2 = -6 -6 + 4n = 6n + -3(n + 3) Reorder the terms: -6 + 4n = 6n + -3(3 + n) -6 + 4n = 6n + (3 * -3 + n * -3) -6 + 4n = 6n + (-9 + -3n) Reorder the terms: -6 + 4n = -9 + 6n + -3n Combine like terms: 6n + -3n = 3n -6 + 4n = -9 + 3n Solving -6 + 4n = -9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -6 + 4n + -3n = -9 + 3n + -3n Combine like terms: 4n + -3n = 1n -6 + 1n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + 1n = -9 + 0 -6 + 1n = -9 Add '6' to each side of the equation. -6 + 6 + 1n = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = -9 + 6 1n = -9 + 6 Combine like terms: -9 + 6 = -3 1n = -3 Divide each side by '1'. n = -3 Simplifying n = -3
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