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Simplifying 5(n + -2) + -2(n + 3) + -20 = -2 Reorder the terms: 5(-2 + n) + -2(n + 3) + -20 = -2 (-2 * 5 + n * 5) + -2(n + 3) + -20 = -2 (-10 + 5n) + -2(n + 3) + -20 = -2 Reorder the terms: -10 + 5n + -2(3 + n) + -20 = -2 -10 + 5n + (3 * -2 + n * -2) + -20 = -2 -10 + 5n + (-6 + -2n) + -20 = -2 Reorder the terms: -10 + -6 + -20 + 5n + -2n = -2 Combine like terms: -10 + -6 = -16 -16 + -20 + 5n + -2n = -2 Combine like terms: -16 + -20 = -36 -36 + 5n + -2n = -2 Combine like terms: 5n + -2n = 3n -36 + 3n = -2 Solving -36 + 3n = -2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 3n = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 3n = -2 + 36 3n = -2 + 36 Combine like terms: -2 + 36 = 34 3n = 34 Divide each side by '3'. n = 11.33333333 Simplifying n = 11.33333333
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