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Simplifying 8v + 4w + 7 = 7w + 8 Reorder the terms: 7 + 8v + 4w = 7w + 8 Reorder the terms: 7 + 8v + 4w = 8 + 7w Solving 7 + 8v + 4w = 8 + 7w 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 + 8v + -7 + 4w = 8 + -7 + 7w Reorder the terms: 7 + -7 + 8v + 4w = 8 + -7 + 7w Combine like terms: 7 + -7 = 0 0 + 8v + 4w = 8 + -7 + 7w 8v + 4w = 8 + -7 + 7w Combine like terms: 8 + -7 = 1 8v + 4w = 1 + 7w Add '-4w' to each side of the equation. 8v + 4w + -4w = 1 + 7w + -4w Combine like terms: 4w + -4w = 0 8v + 0 = 1 + 7w + -4w 8v = 1 + 7w + -4w Combine like terms: 7w + -4w = 3w 8v = 1 + 3w Divide each side by '8'. v = 0.125 + 0.375w Simplifying v = 0.125 + 0.375w
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