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Simplifying 3v + -24 = -7(v + 2) Reorder the terms: -24 + 3v = -7(v + 2) Reorder the terms: -24 + 3v = -7(2 + v) -24 + 3v = (2 * -7 + v * -7) -24 + 3v = (-14 + -7v) Solving -24 + 3v = -14 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -24 + 3v + 7v = -14 + -7v + 7v Combine like terms: 3v + 7v = 10v -24 + 10v = -14 + -7v + 7v Combine like terms: -7v + 7v = 0 -24 + 10v = -14 + 0 -24 + 10v = -14 Add '24' to each side of the equation. -24 + 24 + 10v = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 10v = -14 + 24 10v = -14 + 24 Combine like terms: -14 + 24 = 10 10v = 10 Divide each side by '10'. v = 1 Simplifying v = 1
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