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Simplifying 2(8n + -6) = -31 + 7n Reorder the terms: 2(-6 + 8n) = -31 + 7n (-6 * 2 + 8n * 2) = -31 + 7n (-12 + 16n) = -31 + 7n Solving -12 + 16n = -31 + 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. -12 + 16n + -7n = -31 + 7n + -7n Combine like terms: 16n + -7n = 9n -12 + 9n = -31 + 7n + -7n Combine like terms: 7n + -7n = 0 -12 + 9n = -31 + 0 -12 + 9n = -31 Add '12' to each side of the equation. -12 + 12 + 9n = -31 + 12 Combine like terms: -12 + 12 = 0 0 + 9n = -31 + 12 9n = -31 + 12 Combine like terms: -31 + 12 = -19 9n = -19 Divide each side by '9'. n = -2.111111111 Simplifying n = -2.111111111
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