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Simplifying 5(n + -4) = 2n + 7 Reorder the terms: 5(-4 + n) = 2n + 7 (-4 * 5 + n * 5) = 2n + 7 (-20 + 5n) = 2n + 7 Reorder the terms: -20 + 5n = 7 + 2n Solving -20 + 5n = 7 + 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. -20 + 5n + -2n = 7 + 2n + -2n Combine like terms: 5n + -2n = 3n -20 + 3n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -20 + 3n = 7 + 0 -20 + 3n = 7 Add '20' to each side of the equation. -20 + 20 + 3n = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 3n = 7 + 20 3n = 7 + 20 Combine like terms: 7 + 20 = 27 3n = 27 Divide each side by '3'. n = 9 Simplifying n = 9
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