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Simplifying 5(3n + -2) = 7(2n + 8) Reorder the terms: 5(-2 + 3n) = 7(2n + 8) (-2 * 5 + 3n * 5) = 7(2n + 8) (-10 + 15n) = 7(2n + 8) Reorder the terms: -10 + 15n = 7(8 + 2n) -10 + 15n = (8 * 7 + 2n * 7) -10 + 15n = (56 + 14n) Solving -10 + 15n = 56 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -10 + 15n + -14n = 56 + 14n + -14n Combine like terms: 15n + -14n = 1n -10 + 1n = 56 + 14n + -14n Combine like terms: 14n + -14n = 0 -10 + 1n = 56 + 0 -10 + 1n = 56 Add '10' to each side of the equation. -10 + 10 + 1n = 56 + 10 Combine like terms: -10 + 10 = 0 0 + 1n = 56 + 10 1n = 56 + 10 Combine like terms: 56 + 10 = 66 1n = 66 Divide each side by '1'. n = 66 Simplifying n = 66
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