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Simplifying 5(3n + 4) + -3(2n + -7) = y Reorder the terms: 5(4 + 3n) + -3(2n + -7) = y (4 * 5 + 3n * 5) + -3(2n + -7) = y (20 + 15n) + -3(2n + -7) = y Reorder the terms: 20 + 15n + -3(-7 + 2n) = y 20 + 15n + (-7 * -3 + 2n * -3) = y 20 + 15n + (21 + -6n) = y Reorder the terms: 20 + 21 + 15n + -6n = y Combine like terms: 20 + 21 = 41 41 + 15n + -6n = y Combine like terms: 15n + -6n = 9n 41 + 9n = y Solving 41 + 9n = y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 9n = -41 + y Combine like terms: 41 + -41 = 0 0 + 9n = -41 + y 9n = -41 + y Divide each side by '9'. n = -4.555555556 + 0.1111111111y Simplifying n = -4.555555556 + 0.1111111111y
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