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Simplifying 2(-6 + 2n) = 2(3n + -1(6 + 5)) (-6 * 2 + 2n * 2) = 2(3n + -1(6 + 5)) (-12 + 4n) = 2(3n + -1(6 + 5)) Combine like terms: 6 + 5 = 11 -12 + 4n = 2(3n + -1(11)) Multiply -1 * 11 -12 + 4n = 2(3n + -11) Reorder the terms: -12 + 4n = 2(-11 + 3n) -12 + 4n = (-11 * 2 + 3n * 2) -12 + 4n = (-22 + 6n) Solving -12 + 4n = -22 + 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 + 4n + -6n = -22 + 6n + -6n Combine like terms: 4n + -6n = -2n -12 + -2n = -22 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + -2n = -22 + 0 -12 + -2n = -22 Add '12' to each side of the equation. -12 + 12 + -2n = -22 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = -22 + 12 -2n = -22 + 12 Combine like terms: -22 + 12 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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