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Simplifying 7v + -7(v + 6) = -18 + -3v Reorder the terms: 7v + -7(6 + v) = -18 + -3v 7v + (6 * -7 + v * -7) = -18 + -3v 7v + (-42 + -7v) = -18 + -3v Reorder the terms: -42 + 7v + -7v = -18 + -3v Combine like terms: 7v + -7v = 0 -42 + 0 = -18 + -3v -42 = -18 + -3v Solving -42 = -18 + -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 + 3v = -18 + -3v + 3v Combine like terms: -3v + 3v = 0 -42 + 3v = -18 + 0 -42 + 3v = -18 Add '42' to each side of the equation. -42 + 42 + 3v = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 3v = -18 + 42 3v = -18 + 42 Combine like terms: -18 + 42 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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