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Simplifying -8(v + 3) + 3 + 7v = 0 Reorder the terms: -8(3 + v) + 3 + 7v = 0 (3 * -8 + v * -8) + 3 + 7v = 0 (-24 + -8v) + 3 + 7v = 0 Reorder the terms: -24 + 3 + -8v + 7v = 0 Combine like terms: -24 + 3 = -21 -21 + -8v + 7v = 0 Combine like terms: -8v + 7v = -1v -21 + -1v = 0 Solving -21 + -1v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1v = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1v = 0 + 21 -1v = 0 + 21 Combine like terms: 0 + 21 = 21 -1v = 21 Divide each side by '-1'. v = -21 Simplifying v = -21
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