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Simplifying 8(2n + -3) + 5(7n + 7) = 11 Reorder the terms: 8(-3 + 2n) + 5(7n + 7) = 11 (-3 * 8 + 2n * 8) + 5(7n + 7) = 11 (-24 + 16n) + 5(7n + 7) = 11 Reorder the terms: -24 + 16n + 5(7 + 7n) = 11 -24 + 16n + (7 * 5 + 7n * 5) = 11 -24 + 16n + (35 + 35n) = 11 Reorder the terms: -24 + 35 + 16n + 35n = 11 Combine like terms: -24 + 35 = 11 11 + 16n + 35n = 11 Combine like terms: 16n + 35n = 51n 11 + 51n = 11 Add '-11' to each side of the equation. 11 + -11 + 51n = 11 + -11 Combine like terms: 11 + -11 = 0 0 + 51n = 11 + -11 51n = 11 + -11 Combine like terms: 11 + -11 = 0 51n = 0 Solving 51n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '51'. n = 0 Simplifying n = 0
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