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Simplifying 4 + 6v = -3 + 7(1 + 4v) 4 + 6v = -3 + (1 * 7 + 4v * 7) 4 + 6v = -3 + (7 + 28v) Combine like terms: -3 + 7 = 4 4 + 6v = 4 + 28v Add '-4' to each side of the equation. 4 + -4 + 6v = 4 + -4 + 28v Combine like terms: 4 + -4 = 0 0 + 6v = 4 + -4 + 28v 6v = 4 + -4 + 28v Combine like terms: 4 + -4 = 0 6v = 0 + 28v 6v = 28v Solving 6v = 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. 6v + -28v = 28v + -28v Combine like terms: 6v + -28v = -22v -22v = 28v + -28v Combine like terms: 28v + -28v = 0 -22v = 0 Divide each side by '-22'. v = 0 Simplifying v = 0
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