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Simplifying (7v + 3v + 6) + (-4v + 2v + 1) = 0 Reorder the terms: (6 + 7v + 3v) + (-4v + 2v + 1) = 0 Combine like terms: 7v + 3v = 10v (6 + 10v) + (-4v + 2v + 1) = 0 Remove parenthesis around (6 + 10v) 6 + 10v + (-4v + 2v + 1) = 0 Reorder the terms: 6 + 10v + (1 + -4v + 2v) = 0 Combine like terms: -4v + 2v = -2v 6 + 10v + (1 + -2v) = 0 Remove parenthesis around (1 + -2v) 6 + 10v + 1 + -2v = 0 Reorder the terms: 6 + 1 + 10v + -2v = 0 Combine like terms: 6 + 1 = 7 7 + 10v + -2v = 0 Combine like terms: 10v + -2v = 8v 7 + 8v = 0 Solving 7 + 8v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8v = 0 + -7 8v = 0 + -7 Combine like terms: 0 + -7 = -7 8v = -7 Divide each side by '8'. v = -0.875 Simplifying v = -0.875
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