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Simplifying 6 + -1(n + -2) = 2(n + 3) Reorder the terms: 6 + -1(-2 + n) = 2(n + 3) 6 + (-2 * -1 + n * -1) = 2(n + 3) 6 + (2 + -1n) = 2(n + 3) Combine like terms: 6 + 2 = 8 8 + -1n = 2(n + 3) Reorder the terms: 8 + -1n = 2(3 + n) 8 + -1n = (3 * 2 + n * 2) 8 + -1n = (6 + 2n) Solving 8 + -1n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + -1n + -2n = 6 + 2n + -2n Combine like terms: -1n + -2n = -3n 8 + -3n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -3n = 6 + 0 8 + -3n = 6 Add '-8' to each side of the equation. 8 + -8 + -3n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -3n = 6 + -8 -3n = 6 + -8 Combine like terms: 6 + -8 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667
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