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Simplifying 5(3n + -3) + 5(7 + -4n) = 35 Reorder the terms: 5(-3 + 3n) + 5(7 + -4n) = 35 (-3 * 5 + 3n * 5) + 5(7 + -4n) = 35 (-15 + 15n) + 5(7 + -4n) = 35 -15 + 15n + (7 * 5 + -4n * 5) = 35 -15 + 15n + (35 + -20n) = 35 Reorder the terms: -15 + 35 + 15n + -20n = 35 Combine like terms: -15 + 35 = 20 20 + 15n + -20n = 35 Combine like terms: 15n + -20n = -5n 20 + -5n = 35 Solving 20 + -5n = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -5n = 35 + -20 Combine like terms: 20 + -20 = 0 0 + -5n = 35 + -20 -5n = 35 + -20 Combine like terms: 35 + -20 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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