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Simplifying 5(3n + 3) = -2(5n + -4) + 6n Reorder the terms: 5(3 + 3n) = -2(5n + -4) + 6n (3 * 5 + 3n * 5) = -2(5n + -4) + 6n (15 + 15n) = -2(5n + -4) + 6n Reorder the terms: 15 + 15n = -2(-4 + 5n) + 6n 15 + 15n = (-4 * -2 + 5n * -2) + 6n 15 + 15n = (8 + -10n) + 6n Combine like terms: -10n + 6n = -4n 15 + 15n = 8 + -4n Solving 15 + 15n = 8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 15 + 15n + 4n = 8 + -4n + 4n Combine like terms: 15n + 4n = 19n 15 + 19n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 15 + 19n = 8 + 0 15 + 19n = 8 Add '-15' to each side of the equation. 15 + -15 + 19n = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 19n = 8 + -15 19n = 8 + -15 Combine like terms: 8 + -15 = -7 19n = -7 Divide each side by '19'. n = -0.3684210526 Simplifying n = -0.3684210526
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