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Simplifying 12 + -8(v + 3) + 3 + 7v = 0 Reorder the terms: 12 + -8(3 + v) + 3 + 7v = 0 12 + (3 * -8 + v * -8) + 3 + 7v = 0 12 + (-24 + -8v) + 3 + 7v = 0 Reorder the terms: 12 + -24 + 3 + -8v + 7v = 0 Combine like terms: 12 + -24 = -12 -12 + 3 + -8v + 7v = 0 Combine like terms: -12 + 3 = -9 -9 + -8v + 7v = 0 Combine like terms: -8v + 7v = -1v -9 + -1v = 0 Solving -9 + -1v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1v = 0 + 9 -1v = 0 + 9 Combine like terms: 0 + 9 = 9 -1v = 9 Divide each side by '-1'. v = -9 Simplifying v = -9
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