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Simplifying 2(n + -6) + -3n = 3n + 8 Reorder the terms: 2(-6 + n) + -3n = 3n + 8 (-6 * 2 + n * 2) + -3n = 3n + 8 (-12 + 2n) + -3n = 3n + 8 Combine like terms: 2n + -3n = -1n -12 + -1n = 3n + 8 Reorder the terms: -12 + -1n = 8 + 3n Solving -12 + -1n = 8 + 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 + -1n + -3n = 8 + 3n + -3n Combine like terms: -1n + -3n = -4n -12 + -4n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + -4n = 8 + 0 -12 + -4n = 8 Add '12' to each side of the equation. -12 + 12 + -4n = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4n = 8 + 12 -4n = 8 + 12 Combine like terms: 8 + 12 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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