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Simplifying 5(-3 + 3n) = 10(n + 2) (-3 * 5 + 3n * 5) = 10(n + 2) (-15 + 15n) = 10(n + 2) Reorder the terms: -15 + 15n = 10(2 + n) -15 + 15n = (2 * 10 + n * 10) -15 + 15n = (20 + 10n) Solving -15 + 15n = 20 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -15 + 15n + -10n = 20 + 10n + -10n Combine like terms: 15n + -10n = 5n -15 + 5n = 20 + 10n + -10n Combine like terms: 10n + -10n = 0 -15 + 5n = 20 + 0 -15 + 5n = 20 Add '15' to each side of the equation. -15 + 15 + 5n = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 5n = 20 + 15 5n = 20 + 15 Combine like terms: 20 + 15 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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