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Simplifying 5(3n + 3) = 2(5n + -7) + 6n Reorder the terms: 5(3 + 3n) = 2(5n + -7) + 6n (3 * 5 + 3n * 5) = 2(5n + -7) + 6n (15 + 15n) = 2(5n + -7) + 6n Reorder the terms: 15 + 15n = 2(-7 + 5n) + 6n 15 + 15n = (-7 * 2 + 5n * 2) + 6n 15 + 15n = (-14 + 10n) + 6n Combine like terms: 10n + 6n = 16n 15 + 15n = -14 + 16n Solving 15 + 15n = -14 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 15 + 15n + -16n = -14 + 16n + -16n Combine like terms: 15n + -16n = -1n 15 + -1n = -14 + 16n + -16n Combine like terms: 16n + -16n = 0 15 + -1n = -14 + 0 15 + -1n = -14 Add '-15' to each side of the equation. 15 + -15 + -1n = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = -14 + -15 -1n = -14 + -15 Combine like terms: -14 + -15 = -29 -1n = -29 Divide each side by '-1'. n = 29 Simplifying n = 29
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