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Simplifying 8(3n + 7) + -1 = -3(7n + -6) + 1 Reorder the terms: 8(7 + 3n) + -1 = -3(7n + -6) + 1 (7 * 8 + 3n * 8) + -1 = -3(7n + -6) + 1 (56 + 24n) + -1 = -3(7n + -6) + 1 Reorder the terms: 56 + -1 + 24n = -3(7n + -6) + 1 Combine like terms: 56 + -1 = 55 55 + 24n = -3(7n + -6) + 1 Reorder the terms: 55 + 24n = -3(-6 + 7n) + 1 55 + 24n = (-6 * -3 + 7n * -3) + 1 55 + 24n = (18 + -21n) + 1 Reorder the terms: 55 + 24n = 18 + 1 + -21n Combine like terms: 18 + 1 = 19 55 + 24n = 19 + -21n Solving 55 + 24n = 19 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 55 + 24n + 21n = 19 + -21n + 21n Combine like terms: 24n + 21n = 45n 55 + 45n = 19 + -21n + 21n Combine like terms: -21n + 21n = 0 55 + 45n = 19 + 0 55 + 45n = 19 Add '-55' to each side of the equation. 55 + -55 + 45n = 19 + -55 Combine like terms: 55 + -55 = 0 0 + 45n = 19 + -55 45n = 19 + -55 Combine like terms: 19 + -55 = -36 45n = -36 Divide each side by '45'. n = -0.8 Simplifying n = -0.8
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