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Simplifying 2(n + -6) = 3(n + 2) Reorder the terms: 2(-6 + n) = 3(n + 2) (-6 * 2 + n * 2) = 3(n + 2) (-12 + 2n) = 3(n + 2) Reorder the terms: -12 + 2n = 3(2 + n) -12 + 2n = (2 * 3 + n * 3) -12 + 2n = (6 + 3n) Solving -12 + 2n = 6 + 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. -12 + 2n + -3n = 6 + 3n + -3n Combine like terms: 2n + -3n = -1n -12 + -1n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + -1n = 6 + 0 -12 + -1n = 6 Add '12' to each side of the equation. -12 + 12 + -1n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = 6 + 12 -1n = 6 + 12 Combine like terms: 6 + 12 = 18 -1n = 18 Divide each side by '-1'. n = -18 Simplifying n = -18
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