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Simplifying 10(v + 2) + -4v = 3(2x + 3) + -12 Reorder the terms: 10(2 + v) + -4v = 3(2x + 3) + -12 (2 * 10 + v * 10) + -4v = 3(2x + 3) + -12 (20 + 10v) + -4v = 3(2x + 3) + -12 Combine like terms: 10v + -4v = 6v 20 + 6v = 3(2x + 3) + -12 Reorder the terms: 20 + 6v = 3(3 + 2x) + -12 20 + 6v = (3 * 3 + 2x * 3) + -12 20 + 6v = (9 + 6x) + -12 Reorder the terms: 20 + 6v = 9 + -12 + 6x Combine like terms: 9 + -12 = -3 20 + 6v = -3 + 6x Solving 20 + 6v = -3 + 6x 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 = -3 + -20 + 6x Combine like terms: 20 + -20 = 0 0 + 6v = -3 + -20 + 6x 6v = -3 + -20 + 6x Combine like terms: -3 + -20 = -23 6v = -23 + 6x Divide each side by '6'. v = -3.833333333 + x Simplifying v = -3.833333333 + x
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