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Simplifying -6 + -2n = 3n + -6(6 + 5) Combine like terms: 6 + 5 = 11 -6 + -2n = 3n + -6(11) Multiply -6 * 11 -6 + -2n = 3n + -66 Reorder the terms: -6 + -2n = -66 + 3n Solving -6 + -2n = -66 + 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. -6 + -2n + -3n = -66 + 3n + -3n Combine like terms: -2n + -3n = -5n -6 + -5n = -66 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + -5n = -66 + 0 -6 + -5n = -66 Add '6' to each side of the equation. -6 + 6 + -5n = -66 + 6 Combine like terms: -6 + 6 = 0 0 + -5n = -66 + 6 -5n = -66 + 6 Combine like terms: -66 + 6 = -60 -5n = -60 Divide each side by '-5'. n = 12 Simplifying n = 12
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