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Simplifying -7(3 + -8v) + 5v = 35 + 5v (3 * -7 + -8v * -7) + 5v = 35 + 5v (-21 + 56v) + 5v = 35 + 5v Combine like terms: 56v + 5v = 61v -21 + 61v = 35 + 5v Solving -21 + 61v = 35 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -21 + 61v + -5v = 35 + 5v + -5v Combine like terms: 61v + -5v = 56v -21 + 56v = 35 + 5v + -5v Combine like terms: 5v + -5v = 0 -21 + 56v = 35 + 0 -21 + 56v = 35 Add '21' to each side of the equation. -21 + 21 + 56v = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 56v = 35 + 21 56v = 35 + 21 Combine like terms: 35 + 21 = 56 56v = 56 Divide each side by '56'. v = 1 Simplifying v = 1
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