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Simplifying 31 + -3v = -1v + -5(5 + 6v) 31 + -3v = -1v + (5 * -5 + 6v * -5) 31 + -3v = -1v + (-25 + -30v) Reorder the terms: 31 + -3v = -25 + -1v + -30v Combine like terms: -1v + -30v = -31v 31 + -3v = -25 + -31v Solving 31 + -3v = -25 + -31v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '31v' to each side of the equation. 31 + -3v + 31v = -25 + -31v + 31v Combine like terms: -3v + 31v = 28v 31 + 28v = -25 + -31v + 31v Combine like terms: -31v + 31v = 0 31 + 28v = -25 + 0 31 + 28v = -25 Add '-31' to each side of the equation. 31 + -31 + 28v = -25 + -31 Combine like terms: 31 + -31 = 0 0 + 28v = -25 + -31 28v = -25 + -31 Combine like terms: -25 + -31 = -56 28v = -56 Divide each side by '28'. v = -2 Simplifying v = -2
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