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Simplifying (-12) = (-5) + -1(6n) + 11 -12 = (-5) + -1(6n) + 11 -12 = -5 + -1(6n) + 11 Remove parenthesis around (6n) -12 = -5 + -1 * 6n + 11 Multiply -1 * 6 -12 = -5 + -6n + 11 Reorder the terms: -12 = -5 + 11 + -6n Combine like terms: -5 + 11 = 6 -12 = 6 + -6n Solving -12 = 6 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -12 + 6n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + 6n = 6 + 0 -12 + 6n = 6 Add '12' to each side of the equation. -12 + 12 + 6n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = 6 + 12 6n = 6 + 12 Combine like terms: 6 + 12 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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