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Simplifying -2v + 6(7 + 3w) = 106 -2v + (7 * 6 + 3w * 6) = 106 -2v + (42 + 18w) = 106 Reorder the terms: 42 + -2v + 18w = 106 Solving 42 + -2v + 18w = 106 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -2v + -42 + 18w = 106 + -42 Reorder the terms: 42 + -42 + -2v + 18w = 106 + -42 Combine like terms: 42 + -42 = 0 0 + -2v + 18w = 106 + -42 -2v + 18w = 106 + -42 Combine like terms: 106 + -42 = 64 -2v + 18w = 64 Add '-18w' to each side of the equation. -2v + 18w + -18w = 64 + -18w Combine like terms: 18w + -18w = 0 -2v + 0 = 64 + -18w -2v = 64 + -18w Divide each side by '-2'. v = -32 + 9w Simplifying v = -32 + 9w
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