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Simplifying 7(3n + -4) = (2n + 3) + 8 Reorder the terms: 7(-4 + 3n) = (2n + 3) + 8 (-4 * 7 + 3n * 7) = (2n + 3) + 8 (-28 + 21n) = (2n + 3) + 8 Reorder the terms: -28 + 21n = (3 + 2n) + 8 Remove parenthesis around (3 + 2n) -28 + 21n = 3 + 2n + 8 Reorder the terms: -28 + 21n = 3 + 8 + 2n Combine like terms: 3 + 8 = 11 -28 + 21n = 11 + 2n Solving -28 + 21n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -28 + 21n + -2n = 11 + 2n + -2n Combine like terms: 21n + -2n = 19n -28 + 19n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -28 + 19n = 11 + 0 -28 + 19n = 11 Add '28' to each side of the equation. -28 + 28 + 19n = 11 + 28 Combine like terms: -28 + 28 = 0 0 + 19n = 11 + 28 19n = 11 + 28 Combine like terms: 11 + 28 = 39 19n = 39 Divide each side by '19'. n = 2.052631579 Simplifying n = 2.052631579
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