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Simplifying -28 + 6v = 7v + 3(-1 + 8v) -28 + 6v = 7v + (-1 * 3 + 8v * 3) -28 + 6v = 7v + (-3 + 24v) Reorder the terms: -28 + 6v = -3 + 7v + 24v Combine like terms: 7v + 24v = 31v -28 + 6v = -3 + 31v Solving -28 + 6v = -3 + 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. -28 + 6v + -31v = -3 + 31v + -31v Combine like terms: 6v + -31v = -25v -28 + -25v = -3 + 31v + -31v Combine like terms: 31v + -31v = 0 -28 + -25v = -3 + 0 -28 + -25v = -3 Add '28' to each side of the equation. -28 + 28 + -25v = -3 + 28 Combine like terms: -28 + 28 = 0 0 + -25v = -3 + 28 -25v = -3 + 28 Combine like terms: -3 + 28 = 25 -25v = 25 Divide each side by '-25'. v = -1 Simplifying v = -1
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