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Simplifying 5(3n + 3) = 10(2n + -4) Reorder the terms: 5(3 + 3n) = 10(2n + -4) (3 * 5 + 3n * 5) = 10(2n + -4) (15 + 15n) = 10(2n + -4) Reorder the terms: 15 + 15n = 10(-4 + 2n) 15 + 15n = (-4 * 10 + 2n * 10) 15 + 15n = (-40 + 20n) Solving 15 + 15n = -40 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 15 + 15n + -20n = -40 + 20n + -20n Combine like terms: 15n + -20n = -5n 15 + -5n = -40 + 20n + -20n Combine like terms: 20n + -20n = 0 15 + -5n = -40 + 0 15 + -5n = -40 Add '-15' to each side of the equation. 15 + -15 + -5n = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -5n = -40 + -15 -5n = -40 + -15 Combine like terms: -40 + -15 = -55 -5n = -55 Divide each side by '-5'. n = 11 Simplifying n = 11
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