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Simplifying -6(3 + 7v) + -7(1 + -7v) = -4 (3 * -6 + 7v * -6) + -7(1 + -7v) = -4 (-18 + -42v) + -7(1 + -7v) = -4 -18 + -42v + (1 * -7 + -7v * -7) = -4 -18 + -42v + (-7 + 49v) = -4 Reorder the terms: -18 + -7 + -42v + 49v = -4 Combine like terms: -18 + -7 = -25 -25 + -42v + 49v = -4 Combine like terms: -42v + 49v = 7v -25 + 7v = -4 Solving -25 + 7v = -4 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 7v = -4 + 25 Combine like terms: -25 + 25 = 0 0 + 7v = -4 + 25 7v = -4 + 25 Combine like terms: -4 + 25 = 21 7v = 21 Divide each side by '7'. v = 3 Simplifying v = 3
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