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Simplifying -2 + -4(7n + 4) = 5(3n + -4) + -5 Reorder the terms: -2 + -4(4 + 7n) = 5(3n + -4) + -5 -2 + (4 * -4 + 7n * -4) = 5(3n + -4) + -5 -2 + (-16 + -28n) = 5(3n + -4) + -5 Combine like terms: -2 + -16 = -18 -18 + -28n = 5(3n + -4) + -5 Reorder the terms: -18 + -28n = 5(-4 + 3n) + -5 -18 + -28n = (-4 * 5 + 3n * 5) + -5 -18 + -28n = (-20 + 15n) + -5 Reorder the terms: -18 + -28n = -20 + -5 + 15n Combine like terms: -20 + -5 = -25 -18 + -28n = -25 + 15n Solving -18 + -28n = -25 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -18 + -28n + -15n = -25 + 15n + -15n Combine like terms: -28n + -15n = -43n -18 + -43n = -25 + 15n + -15n Combine like terms: 15n + -15n = 0 -18 + -43n = -25 + 0 -18 + -43n = -25 Add '18' to each side of the equation. -18 + 18 + -43n = -25 + 18 Combine like terms: -18 + 18 = 0 0 + -43n = -25 + 18 -43n = -25 + 18 Combine like terms: -25 + 18 = -7 -43n = -7 Divide each side by '-43'. n = 0.1627906977 Simplifying n = 0.1627906977
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