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Simplifying 4(-5n + 2) = 6(1 + -3n) Reorder the terms: 4(2 + -5n) = 6(1 + -3n) (2 * 4 + -5n * 4) = 6(1 + -3n) (8 + -20n) = 6(1 + -3n) 8 + -20n = (1 * 6 + -3n * 6) 8 + -20n = (6 + -18n) Solving 8 + -20n = 6 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 8 + -20n + 18n = 6 + -18n + 18n Combine like terms: -20n + 18n = -2n 8 + -2n = 6 + -18n + 18n Combine like terms: -18n + 18n = 0 8 + -2n = 6 + 0 8 + -2n = 6 Add '-8' to each side of the equation. 8 + -8 + -2n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 6 + -8 -2n = 6 + -8 Combine like terms: 6 + -8 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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