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Simplifying 10(v + 2) + -4v = 3(2c + 1) + -9 Reorder the terms: 10(2 + v) + -4v = 3(2c + 1) + -9 (2 * 10 + v * 10) + -4v = 3(2c + 1) + -9 (20 + 10v) + -4v = 3(2c + 1) + -9 Combine like terms: 10v + -4v = 6v 20 + 6v = 3(2c + 1) + -9 Reorder the terms: 20 + 6v = 3(1 + 2c) + -9 20 + 6v = (1 * 3 + 2c * 3) + -9 20 + 6v = (3 + 6c) + -9 Reorder the terms: 20 + 6v = 3 + -9 + 6c Combine like terms: 3 + -9 = -6 20 + 6v = -6 + 6c Solving 20 + 6v = -6 + 6c Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6v = -6 + -20 + 6c Combine like terms: 20 + -20 = 0 0 + 6v = -6 + -20 + 6c 6v = -6 + -20 + 6c Combine like terms: -6 + -20 = -26 6v = -26 + 6c Divide each side by '6'. v = -4.333333333 + c Simplifying v = -4.333333333 + c
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