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Simplifying 7n + -7n = 6(-2n + -10) + 4(8n + -2) Combine like terms: 7n + -7n = 0 0 = 6(-2n + -10) + 4(8n + -2) Reorder the terms: 0 = 6(-10 + -2n) + 4(8n + -2) 0 = (-10 * 6 + -2n * 6) + 4(8n + -2) 0 = (-60 + -12n) + 4(8n + -2) Reorder the terms: 0 = -60 + -12n + 4(-2 + 8n) 0 = -60 + -12n + (-2 * 4 + 8n * 4) 0 = -60 + -12n + (-8 + 32n) Reorder the terms: 0 = -60 + -8 + -12n + 32n Combine like terms: -60 + -8 = -68 0 = -68 + -12n + 32n Combine like terms: -12n + 32n = 20n 0 = -68 + 20n Solving 0 = -68 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 0 + -20n = -68 + 20n + -20n Remove the zero: -20n = -68 + 20n + -20n Combine like terms: 20n + -20n = 0 -20n = -68 + 0 -20n = -68 Divide each side by '-20'. n = 3.4 Simplifying n = 3.4
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