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Simplifying 7(5n + 5) = 3(7n + -5) + 15n Reorder the terms: 7(5 + 5n) = 3(7n + -5) + 15n (5 * 7 + 5n * 7) = 3(7n + -5) + 15n (35 + 35n) = 3(7n + -5) + 15n Reorder the terms: 35 + 35n = 3(-5 + 7n) + 15n 35 + 35n = (-5 * 3 + 7n * 3) + 15n 35 + 35n = (-15 + 21n) + 15n Combine like terms: 21n + 15n = 36n 35 + 35n = -15 + 36n Solving 35 + 35n = -15 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 35 + 35n + -36n = -15 + 36n + -36n Combine like terms: 35n + -36n = -1n 35 + -1n = -15 + 36n + -36n Combine like terms: 36n + -36n = 0 35 + -1n = -15 + 0 35 + -1n = -15 Add '-35' to each side of the equation. 35 + -35 + -1n = -15 + -35 Combine like terms: 35 + -35 = 0 0 + -1n = -15 + -35 -1n = -15 + -35 Combine like terms: -15 + -35 = -50 -1n = -50 Divide each side by '-1'. n = 50 Simplifying n = 50
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