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Simplifying 7(2n + 3) = 5(3n + -4) Reorder the terms: 7(3 + 2n) = 5(3n + -4) (3 * 7 + 2n * 7) = 5(3n + -4) (21 + 14n) = 5(3n + -4) Reorder the terms: 21 + 14n = 5(-4 + 3n) 21 + 14n = (-4 * 5 + 3n * 5) 21 + 14n = (-20 + 15n) Solving 21 + 14n = -20 + 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 + 14n + -15n = -20 + 15n + -15n Combine like terms: 14n + -15n = -1n 21 + -1n = -20 + 15n + -15n Combine like terms: 15n + -15n = 0 21 + -1n = -20 + 0 21 + -1n = -20 Add '-21' to each side of the equation. 21 + -21 + -1n = -20 + -21 Combine like terms: 21 + -21 = 0 0 + -1n = -20 + -21 -1n = -20 + -21 Combine like terms: -20 + -21 = -41 -1n = -41 Divide each side by '-1'. n = 41 Simplifying n = 41
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