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Simplifying 3(n + -10) = 5(n + 2) Reorder the terms: 3(-10 + n) = 5(n + 2) (-10 * 3 + n * 3) = 5(n + 2) (-30 + 3n) = 5(n + 2) Reorder the terms: -30 + 3n = 5(2 + n) -30 + 3n = (2 * 5 + n * 5) -30 + 3n = (10 + 5n) Solving -30 + 3n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -30 + 3n + -5n = 10 + 5n + -5n Combine like terms: 3n + -5n = -2n -30 + -2n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -30 + -2n = 10 + 0 -30 + -2n = 10 Add '30' to each side of the equation. -30 + 30 + -2n = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -2n = 10 + 30 -2n = 10 + 30 Combine like terms: 10 + 30 = 40 -2n = 40 Divide each side by '-2'. n = -20 Simplifying n = -20
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