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Simplifying 6(n + -2) = 3(5 + 3n) Reorder the terms: 6(-2 + n) = 3(5 + 3n) (-2 * 6 + n * 6) = 3(5 + 3n) (-12 + 6n) = 3(5 + 3n) -12 + 6n = (5 * 3 + 3n * 3) -12 + 6n = (15 + 9n) Solving -12 + 6n = 15 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -12 + 6n + -9n = 15 + 9n + -9n Combine like terms: 6n + -9n = -3n -12 + -3n = 15 + 9n + -9n Combine like terms: 9n + -9n = 0 -12 + -3n = 15 + 0 -12 + -3n = 15 Add '12' to each side of the equation. -12 + 12 + -3n = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3n = 15 + 12 -3n = 15 + 12 Combine like terms: 15 + 12 = 27 -3n = 27 Divide each side by '-3'. n = -9 Simplifying n = -9
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