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Simplifying -1v + 3 = 7v + -4 + -5 Reorder the terms: 3 + -1v = 7v + -4 + -5 Reorder the terms: 3 + -1v = -4 + -5 + 7v Combine like terms: -4 + -5 = -9 3 + -1v = -9 + 7v Solving 3 + -1v = -9 + 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. 3 + -1v + -7v = -9 + 7v + -7v Combine like terms: -1v + -7v = -8v 3 + -8v = -9 + 7v + -7v Combine like terms: 7v + -7v = 0 3 + -8v = -9 + 0 3 + -8v = -9 Add '-3' to each side of the equation. 3 + -3 + -8v = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -8v = -9 + -3 -8v = -9 + -3 Combine like terms: -9 + -3 = -12 -8v = -12 Divide each side by '-8'. v = 1.5 Simplifying v = 1.5
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