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Simplifying 2(n + -8) + 6n = -13 + 7n Reorder the terms: 2(-8 + n) + 6n = -13 + 7n (-8 * 2 + n * 2) + 6n = -13 + 7n (-16 + 2n) + 6n = -13 + 7n Combine like terms: 2n + 6n = 8n -16 + 8n = -13 + 7n Solving -16 + 8n = -13 + 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. -16 + 8n + -7n = -13 + 7n + -7n Combine like terms: 8n + -7n = 1n -16 + 1n = -13 + 7n + -7n Combine like terms: 7n + -7n = 0 -16 + 1n = -13 + 0 -16 + 1n = -13 Add '16' to each side of the equation. -16 + 16 + 1n = -13 + 16 Combine like terms: -16 + 16 = 0 0 + 1n = -13 + 16 1n = -13 + 16 Combine like terms: -13 + 16 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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