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Simplifying 3(8 + 7n) + -8(7n + -1) = 67 (8 * 3 + 7n * 3) + -8(7n + -1) = 67 (24 + 21n) + -8(7n + -1) = 67 Reorder the terms: 24 + 21n + -8(-1 + 7n) = 67 24 + 21n + (-1 * -8 + 7n * -8) = 67 24 + 21n + (8 + -56n) = 67 Reorder the terms: 24 + 8 + 21n + -56n = 67 Combine like terms: 24 + 8 = 32 32 + 21n + -56n = 67 Combine like terms: 21n + -56n = -35n 32 + -35n = 67 Solving 32 + -35n = 67 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -35n = 67 + -32 Combine like terms: 32 + -32 = 0 0 + -35n = 67 + -32 -35n = 67 + -32 Combine like terms: 67 + -32 = 35 -35n = 35 Divide each side by '-35'. n = -1 Simplifying n = -1
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