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Simplifying 7(4v + 7) + -1 = 12 + -8v Reorder the terms: 7(7 + 4v) + -1 = 12 + -8v (7 * 7 + 4v * 7) + -1 = 12 + -8v (49 + 28v) + -1 = 12 + -8v Reorder the terms: 49 + -1 + 28v = 12 + -8v Combine like terms: 49 + -1 = 48 48 + 28v = 12 + -8v Solving 48 + 28v = 12 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 48 + 28v + 8v = 12 + -8v + 8v Combine like terms: 28v + 8v = 36v 48 + 36v = 12 + -8v + 8v Combine like terms: -8v + 8v = 0 48 + 36v = 12 + 0 48 + 36v = 12 Add '-48' to each side of the equation. 48 + -48 + 36v = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 36v = 12 + -48 36v = 12 + -48 Combine like terms: 12 + -48 = -36 36v = -36 Divide each side by '36'. v = -1 Simplifying v = -1
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