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Simplifying 7v + -17 = 4v + 4(6v + 1) Reorder the terms: -17 + 7v = 4v + 4(6v + 1) Reorder the terms: -17 + 7v = 4v + 4(1 + 6v) -17 + 7v = 4v + (1 * 4 + 6v * 4) -17 + 7v = 4v + (4 + 24v) Reorder the terms: -17 + 7v = 4 + 4v + 24v Combine like terms: 4v + 24v = 28v -17 + 7v = 4 + 28v Solving -17 + 7v = 4 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. -17 + 7v + -28v = 4 + 28v + -28v Combine like terms: 7v + -28v = -21v -17 + -21v = 4 + 28v + -28v Combine like terms: 28v + -28v = 0 -17 + -21v = 4 + 0 -17 + -21v = 4 Add '17' to each side of the equation. -17 + 17 + -21v = 4 + 17 Combine like terms: -17 + 17 = 0 0 + -21v = 4 + 17 -21v = 4 + 17 Combine like terms: 4 + 17 = 21 -21v = 21 Divide each side by '-21'. v = -1 Simplifying v = -1
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