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Simplifying 2(3.5n + 6) = 3.5n + -2 Reorder the terms: 2(6 + 3.5n) = 3.5n + -2 (6 * 2 + 3.5n * 2) = 3.5n + -2 (12 + 7n) = 3.5n + -2 Reorder the terms: 12 + 7n = -2 + 3.5n Solving 12 + 7n = -2 + 3.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.5n' to each side of the equation. 12 + 7n + -3.5n = -2 + 3.5n + -3.5n Combine like terms: 7n + -3.5n = 3.5n 12 + 3.5n = -2 + 3.5n + -3.5n Combine like terms: 3.5n + -3.5n = 0.0 12 + 3.5n = -2 + 0.0 12 + 3.5n = -2 Add '-12' to each side of the equation. 12 + -12 + 3.5n = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 3.5n = -2 + -12 3.5n = -2 + -12 Combine like terms: -2 + -12 = -14 3.5n = -14 Divide each side by '3.5'. n = -4 Simplifying n = -4
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