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Simplifying 5(3n + 1) = 2(5n + -4) + 6n Reorder the terms: 5(1 + 3n) = 2(5n + -4) + 6n (1 * 5 + 3n * 5) = 2(5n + -4) + 6n (5 + 15n) = 2(5n + -4) + 6n Reorder the terms: 5 + 15n = 2(-4 + 5n) + 6n 5 + 15n = (-4 * 2 + 5n * 2) + 6n 5 + 15n = (-8 + 10n) + 6n Combine like terms: 10n + 6n = 16n 5 + 15n = -8 + 16n Solving 5 + 15n = -8 + 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. 5 + 15n + -16n = -8 + 16n + -16n Combine like terms: 15n + -16n = -1n 5 + -1n = -8 + 16n + -16n Combine like terms: 16n + -16n = 0 5 + -1n = -8 + 0 5 + -1n = -8 Add '-5' to each side of the equation. 5 + -5 + -1n = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = -8 + -5 -1n = -8 + -5 Combine like terms: -8 + -5 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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