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