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Simplifying 7(-7 + 8v) = 4 + 3v (-7 * 7 + 8v * 7) = 4 + 3v (-49 + 56v) = 4 + 3v Solving -49 + 56v = 4 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -49 + 56v + -3v = 4 + 3v + -3v Combine like terms: 56v + -3v = 53v -49 + 53v = 4 + 3v + -3v Combine like terms: 3v + -3v = 0 -49 + 53v = 4 + 0 -49 + 53v = 4 Add '49' to each side of the equation. -49 + 49 + 53v = 4 + 49 Combine like terms: -49 + 49 = 0 0 + 53v = 4 + 49 53v = 4 + 49 Combine like terms: 4 + 49 = 53 53v = 53 Divide each side by '53'. v = 1 Simplifying v = 1
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