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Simplifying 2(3.5n + 6) = 2.5n + (-2) Reorder the terms: 2(6 + 3.5n) = 2.5n + (-2) (6 * 2 + 3.5n * 2) = 2.5n + (-2) (12 + 7n) = 2.5n + (-2) 12 + 7n = 2.5n + -2 Reorder the terms: 12 + 7n = -2 + 2.5n Solving 12 + 7n = -2 + 2.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.5n' to each side of the equation. 12 + 7n + -2.5n = -2 + 2.5n + -2.5n Combine like terms: 7n + -2.5n = 4.5n 12 + 4.5n = -2 + 2.5n + -2.5n Combine like terms: 2.5n + -2.5n = 0.0 12 + 4.5n = -2 + 0.0 12 + 4.5n = -2 Add '-12' to each side of the equation. 12 + -12 + 4.5n = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 4.5n = -2 + -12 4.5n = -2 + -12 Combine like terms: -2 + -12 = -14 4.5n = -14 Divide each side by '4.5'. n = -3.111111111 Simplifying n = -3.111111111
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