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Simplifying -12 = -7v + -42 + -8v + -48 Reorder the terms: -12 = -42 + -48 + -7v + -8v Combine like terms: -42 + -48 = -90 -12 = -90 + -7v + -8v Combine like terms: -7v + -8v = -15v -12 = -90 + -15v Solving -12 = -90 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -12 + 15v = -90 + -15v + 15v Combine like terms: -15v + 15v = 0 -12 + 15v = -90 + 0 -12 + 15v = -90 Add '12' to each side of the equation. -12 + 12 + 15v = -90 + 12 Combine like terms: -12 + 12 = 0 0 + 15v = -90 + 12 15v = -90 + 12 Combine like terms: -90 + 12 = -78 15v = -78 Divide each side by '15'. v = -5.2 Simplifying v = -5.2
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