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Simplifying 107 = 3 + -8(7n + -6) Reorder the terms: 107 = 3 + -8(-6 + 7n) 107 = 3 + (-6 * -8 + 7n * -8) 107 = 3 + (48 + -56n) Combine like terms: 3 + 48 = 51 107 = 51 + -56n Solving 107 = 51 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 107 + 56n = 51 + -56n + 56n Combine like terms: -56n + 56n = 0 107 + 56n = 51 + 0 107 + 56n = 51 Add '-107' to each side of the equation. 107 + -107 + 56n = 51 + -107 Combine like terms: 107 + -107 = 0 0 + 56n = 51 + -107 56n = 51 + -107 Combine like terms: 51 + -107 = -56 56n = -56 Divide each side by '56'. n = -1 Simplifying n = -1
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