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Simplifying -339 = 8(4 + 7v) + -3v -339 = (4 * 8 + 7v * 8) + -3v -339 = (32 + 56v) + -3v Combine like terms: 56v + -3v = 53v -339 = 32 + 53v Solving -339 = 32 + 53v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-53v' to each side of the equation. -339 + -53v = 32 + 53v + -53v Combine like terms: 53v + -53v = 0 -339 + -53v = 32 + 0 -339 + -53v = 32 Add '339' to each side of the equation. -339 + 339 + -53v = 32 + 339 Combine like terms: -339 + 339 = 0 0 + -53v = 32 + 339 -53v = 32 + 339 Combine like terms: 32 + 339 = 371 -53v = 371 Divide each side by '-53'. v = -7 Simplifying v = -7
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