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Simplifying -140 = 7(-4v + 8) Reorder the terms: -140 = 7(8 + -4v) -140 = (8 * 7 + -4v * 7) -140 = (56 + -28v) Solving -140 = 56 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -140 + 28v = 56 + -28v + 28v Combine like terms: -28v + 28v = 0 -140 + 28v = 56 + 0 -140 + 28v = 56 Add '140' to each side of the equation. -140 + 140 + 28v = 56 + 140 Combine like terms: -140 + 140 = 0 0 + 28v = 56 + 140 28v = 56 + 140 Combine like terms: 56 + 140 = 196 28v = 196 Divide each side by '28'. v = 7 Simplifying v = 7
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