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Simplifying 4(-5n + -5) + 2n = -3n + 40 Reorder the terms: 4(-5 + -5n) + 2n = -3n + 40 (-5 * 4 + -5n * 4) + 2n = -3n + 40 (-20 + -20n) + 2n = -3n + 40 Combine like terms: -20n + 2n = -18n -20 + -18n = -3n + 40 Reorder the terms: -20 + -18n = 40 + -3n Solving -20 + -18n = 40 + -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. -20 + -18n + 3n = 40 + -3n + 3n Combine like terms: -18n + 3n = -15n -20 + -15n = 40 + -3n + 3n Combine like terms: -3n + 3n = 0 -20 + -15n = 40 + 0 -20 + -15n = 40 Add '20' to each side of the equation. -20 + 20 + -15n = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -15n = 40 + 20 -15n = 40 + 20 Combine like terms: 40 + 20 = 60 -15n = 60 Divide each side by '-15'. n = -4 Simplifying n = -4
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