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Simplifying 8(3n + -3) = (5n + 4) + 7 Reorder the terms: 8(-3 + 3n) = (5n + 4) + 7 (-3 * 8 + 3n * 8) = (5n + 4) + 7 (-24 + 24n) = (5n + 4) + 7 Reorder the terms: -24 + 24n = (4 + 5n) + 7 Remove parenthesis around (4 + 5n) -24 + 24n = 4 + 5n + 7 Reorder the terms: -24 + 24n = 4 + 7 + 5n Combine like terms: 4 + 7 = 11 -24 + 24n = 11 + 5n Solving -24 + 24n = 11 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -24 + 24n + -5n = 11 + 5n + -5n Combine like terms: 24n + -5n = 19n -24 + 19n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -24 + 19n = 11 + 0 -24 + 19n = 11 Add '24' to each side of the equation. -24 + 24 + 19n = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 19n = 11 + 24 19n = 11 + 24 Combine like terms: 11 + 24 = 35 19n = 35 Divide each side by '19'. n = 1.842105263 Simplifying n = 1.842105263
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