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Simplifying 8(2n + -3) = (7n + 7) + 8 Reorder the terms: 8(-3 + 2n) = (7n + 7) + 8 (-3 * 8 + 2n * 8) = (7n + 7) + 8 (-24 + 16n) = (7n + 7) + 8 Reorder the terms: -24 + 16n = (7 + 7n) + 8 Remove parenthesis around (7 + 7n) -24 + 16n = 7 + 7n + 8 Reorder the terms: -24 + 16n = 7 + 8 + 7n Combine like terms: 7 + 8 = 15 -24 + 16n = 15 + 7n Solving -24 + 16n = 15 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -24 + 16n + -7n = 15 + 7n + -7n Combine like terms: 16n + -7n = 9n -24 + 9n = 15 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + 9n = 15 + 0 -24 + 9n = 15 Add '24' to each side of the equation. -24 + 24 + 9n = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 9n = 15 + 24 9n = 15 + 24 Combine like terms: 15 + 24 = 39 9n = 39 Divide each side by '9'. n = 4.333333333 Simplifying n = 4.333333333
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