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Simplifying 28 + -11(3n + 3) = 5(6n + 1) + -48 Reorder the terms: 28 + -11(3 + 3n) = 5(6n + 1) + -48 28 + (3 * -11 + 3n * -11) = 5(6n + 1) + -48 28 + (-33 + -33n) = 5(6n + 1) + -48 Combine like terms: 28 + -33 = -5 -5 + -33n = 5(6n + 1) + -48 Reorder the terms: -5 + -33n = 5(1 + 6n) + -48 -5 + -33n = (1 * 5 + 6n * 5) + -48 -5 + -33n = (5 + 30n) + -48 Reorder the terms: -5 + -33n = 5 + -48 + 30n Combine like terms: 5 + -48 = -43 -5 + -33n = -43 + 30n Solving -5 + -33n = -43 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. -5 + -33n + -30n = -43 + 30n + -30n Combine like terms: -33n + -30n = -63n -5 + -63n = -43 + 30n + -30n Combine like terms: 30n + -30n = 0 -5 + -63n = -43 + 0 -5 + -63n = -43 Add '5' to each side of the equation. -5 + 5 + -63n = -43 + 5 Combine like terms: -5 + 5 = 0 0 + -63n = -43 + 5 -63n = -43 + 5 Combine like terms: -43 + 5 = -38 -63n = -38 Divide each side by '-63'. n = 0.6031746032 Simplifying n = 0.6031746032
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