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Simplifying -2(-5n + 2) = 3(3n + 3) Reorder the terms: -2(2 + -5n) = 3(3n + 3) (2 * -2 + -5n * -2) = 3(3n + 3) (-4 + 10n) = 3(3n + 3) Reorder the terms: -4 + 10n = 3(3 + 3n) -4 + 10n = (3 * 3 + 3n * 3) -4 + 10n = (9 + 9n) Solving -4 + 10n = 9 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -4 + 10n + -9n = 9 + 9n + -9n Combine like terms: 10n + -9n = 1n -4 + 1n = 9 + 9n + -9n Combine like terms: 9n + -9n = 0 -4 + 1n = 9 + 0 -4 + 1n = 9 Add '4' to each side of the equation. -4 + 4 + 1n = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 1n = 9 + 4 1n = 9 + 4 Combine like terms: 9 + 4 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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