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Simplifying 6(n + -10) = -7(n + 8) Reorder the terms: 6(-10 + n) = -7(n + 8) (-10 * 6 + n * 6) = -7(n + 8) (-60 + 6n) = -7(n + 8) Reorder the terms: -60 + 6n = -7(8 + n) -60 + 6n = (8 * -7 + n * -7) -60 + 6n = (-56 + -7n) Solving -60 + 6n = -56 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -60 + 6n + 7n = -56 + -7n + 7n Combine like terms: 6n + 7n = 13n -60 + 13n = -56 + -7n + 7n Combine like terms: -7n + 7n = 0 -60 + 13n = -56 + 0 -60 + 13n = -56 Add '60' to each side of the equation. -60 + 60 + 13n = -56 + 60 Combine like terms: -60 + 60 = 0 0 + 13n = -56 + 60 13n = -56 + 60 Combine like terms: -56 + 60 = 4 13n = 4 Divide each side by '13'. n = 0.3076923077 Simplifying n = 0.3076923077
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