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Simplifying 7 + 6(n + -5) = 7 + 3(7n + 5) Reorder the terms: 7 + 6(-5 + n) = 7 + 3(7n + 5) 7 + (-5 * 6 + n * 6) = 7 + 3(7n + 5) 7 + (-30 + 6n) = 7 + 3(7n + 5) Combine like terms: 7 + -30 = -23 -23 + 6n = 7 + 3(7n + 5) Reorder the terms: -23 + 6n = 7 + 3(5 + 7n) -23 + 6n = 7 + (5 * 3 + 7n * 3) -23 + 6n = 7 + (15 + 21n) Combine like terms: 7 + 15 = 22 -23 + 6n = 22 + 21n Solving -23 + 6n = 22 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -23 + 6n + -21n = 22 + 21n + -21n Combine like terms: 6n + -21n = -15n -23 + -15n = 22 + 21n + -21n Combine like terms: 21n + -21n = 0 -23 + -15n = 22 + 0 -23 + -15n = 22 Add '23' to each side of the equation. -23 + 23 + -15n = 22 + 23 Combine like terms: -23 + 23 = 0 0 + -15n = 22 + 23 -15n = 22 + 23 Combine like terms: 22 + 23 = 45 -15n = 45 Divide each side by '-15'. n = -3 Simplifying n = -3
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