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Simplifying 3(2n + 7) = 15(n + -4) Reorder the terms: 3(7 + 2n) = 15(n + -4) (7 * 3 + 2n * 3) = 15(n + -4) (21 + 6n) = 15(n + -4) Reorder the terms: 21 + 6n = 15(-4 + n) 21 + 6n = (-4 * 15 + n * 15) 21 + 6n = (-60 + 15n) Solving 21 + 6n = -60 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 21 + 6n + -15n = -60 + 15n + -15n Combine like terms: 6n + -15n = -9n 21 + -9n = -60 + 15n + -15n Combine like terms: 15n + -15n = 0 21 + -9n = -60 + 0 21 + -9n = -60 Add '-21' to each side of the equation. 21 + -21 + -9n = -60 + -21 Combine like terms: 21 + -21 = 0 0 + -9n = -60 + -21 -9n = -60 + -21 Combine like terms: -60 + -21 = -81 -9n = -81 Divide each side by '-9'. n = 9 Simplifying n = 9
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