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Simplifying -5 + 2(1 + 2n) = 2(n + -6) + -7 -5 + (1 * 2 + 2n * 2) = 2(n + -6) + -7 -5 + (2 + 4n) = 2(n + -6) + -7 Combine like terms: -5 + 2 = -3 -3 + 4n = 2(n + -6) + -7 Reorder the terms: -3 + 4n = 2(-6 + n) + -7 -3 + 4n = (-6 * 2 + n * 2) + -7 -3 + 4n = (-12 + 2n) + -7 Reorder the terms: -3 + 4n = -12 + -7 + 2n Combine like terms: -12 + -7 = -19 -3 + 4n = -19 + 2n Solving -3 + 4n = -19 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -3 + 4n + -2n = -19 + 2n + -2n Combine like terms: 4n + -2n = 2n -3 + 2n = -19 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + 2n = -19 + 0 -3 + 2n = -19 Add '3' to each side of the equation. -3 + 3 + 2n = -19 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = -19 + 3 2n = -19 + 3 Combine like terms: -19 + 3 = -16 2n = -16 Divide each side by '2'. n = -8 Simplifying n = -8
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