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Simplifying -10 = 6n + -1(3n + 12) Reorder the terms: -10 = 6n + -1(12 + 3n) -10 = 6n + (12 * -1 + 3n * -1) -10 = 6n + (-12 + -3n) Reorder the terms: -10 = -12 + 6n + -3n Combine like terms: 6n + -3n = 3n -10 = -12 + 3n Solving -10 = -12 + 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. -10 + -3n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + -3n = -12 + 0 -10 + -3n = -12 Add '10' to each side of the equation. -10 + 10 + -3n = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = -12 + 10 -3n = -12 + 10 Combine like terms: -12 + 10 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667
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