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Simplifying 6 + -1(n + -6) = 3(n + 3) Reorder the terms: 6 + -1(-6 + n) = 3(n + 3) 6 + (-6 * -1 + n * -1) = 3(n + 3) 6 + (6 + -1n) = 3(n + 3) Combine like terms: 6 + 6 = 12 12 + -1n = 3(n + 3) Reorder the terms: 12 + -1n = 3(3 + n) 12 + -1n = (3 * 3 + n * 3) 12 + -1n = (9 + 3n) Solving 12 + -1n = 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. 12 + -1n + -3n = 9 + 3n + -3n Combine like terms: -1n + -3n = -4n 12 + -4n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 12 + -4n = 9 + 0 12 + -4n = 9 Add '-12' to each side of the equation. 12 + -12 + -4n = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = 9 + -12 -4n = 9 + -12 Combine like terms: 9 + -12 = -3 -4n = -3 Divide each side by '-4'. n = 0.75 Simplifying n = 0.75
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