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Simplifying -7(7v + 6) = 4 + -3v Reorder the terms: -7(6 + 7v) = 4 + -3v (6 * -7 + 7v * -7) = 4 + -3v (-42 + -49v) = 4 + -3v Solving -42 + -49v = 4 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -42 + -49v + 3v = 4 + -3v + 3v Combine like terms: -49v + 3v = -46v -42 + -46v = 4 + -3v + 3v Combine like terms: -3v + 3v = 0 -42 + -46v = 4 + 0 -42 + -46v = 4 Add '42' to each side of the equation. -42 + 42 + -46v = 4 + 42 Combine like terms: -42 + 42 = 0 0 + -46v = 4 + 42 -46v = 4 + 42 Combine like terms: 4 + 42 = 46 -46v = 46 Divide each side by '-46'. v = -1 Simplifying v = -1
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