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Simplifying -79 = 7(1 + 3n) + -8(7n + 2) -79 = (1 * 7 + 3n * 7) + -8(7n + 2) -79 = (7 + 21n) + -8(7n + 2) Reorder the terms: -79 = 7 + 21n + -8(2 + 7n) -79 = 7 + 21n + (2 * -8 + 7n * -8) -79 = 7 + 21n + (-16 + -56n) Reorder the terms: -79 = 7 + -16 + 21n + -56n Combine like terms: 7 + -16 = -9 -79 = -9 + 21n + -56n Combine like terms: 21n + -56n = -35n -79 = -9 + -35n Solving -79 = -9 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -79 + 35n = -9 + -35n + 35n Combine like terms: -35n + 35n = 0 -79 + 35n = -9 + 0 -79 + 35n = -9 Add '79' to each side of the equation. -79 + 79 + 35n = -9 + 79 Combine like terms: -79 + 79 = 0 0 + 35n = -9 + 79 35n = -9 + 79 Combine like terms: -9 + 79 = 70 35n = 70 Divide each side by '35'. n = 2 Simplifying n = 2
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