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Simplifying 2 + (3v + 1) + 10(v + -1w) = 0 Reorder the terms: 2 + (1 + 3v) + 10(v + -1w) = 0 Remove parenthesis around (1 + 3v) 2 + 1 + 3v + 10(v + -1w) = 0 2 + 1 + 3v + (v * 10 + -1w * 10) = 0 2 + 1 + 3v + (10v + -10w) = 0 Combine like terms: 2 + 1 = 3 3 + 3v + 10v + -10w = 0 Combine like terms: 3v + 10v = 13v 3 + 13v + -10w = 0 Solving 3 + 13v + -10w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 13v + -3 + -10w = 0 + -3 Reorder the terms: 3 + -3 + 13v + -10w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 13v + -10w = 0 + -3 13v + -10w = 0 + -3 Combine like terms: 0 + -3 = -3 13v + -10w = -3 Add '10w' to each side of the equation. 13v + -10w + 10w = -3 + 10w Combine like terms: -10w + 10w = 0 13v + 0 = -3 + 10w 13v = -3 + 10w Divide each side by '13'. v = -0.2307692308 + 0.7692307692w Simplifying v = -0.2307692308 + 0.7692307692w
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