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Simplifying 5(2n + -2) = 5(3n + 10) Reorder the terms: 5(-2 + 2n) = 5(3n + 10) (-2 * 5 + 2n * 5) = 5(3n + 10) (-10 + 10n) = 5(3n + 10) Reorder the terms: -10 + 10n = 5(10 + 3n) -10 + 10n = (10 * 5 + 3n * 5) -10 + 10n = (50 + 15n) Solving -10 + 10n = 50 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -10 + 10n + -15n = 50 + 15n + -15n Combine like terms: 10n + -15n = -5n -10 + -5n = 50 + 15n + -15n Combine like terms: 15n + -15n = 0 -10 + -5n = 50 + 0 -10 + -5n = 50 Add '10' to each side of the equation. -10 + 10 + -5n = 50 + 10 Combine like terms: -10 + 10 = 0 0 + -5n = 50 + 10 -5n = 50 + 10 Combine like terms: 50 + 10 = 60 -5n = 60 Divide each side by '-5'. n = -12 Simplifying n = -12
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