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Simplifying -10 + -8 + 3v + -4v = -2 + 7v Combine like terms: -10 + -8 = -18 -18 + 3v + -4v = -2 + 7v Combine like terms: 3v + -4v = -1v -18 + -1v = -2 + 7v Solving -18 + -1v = -2 + 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. -18 + -1v + -7v = -2 + 7v + -7v Combine like terms: -1v + -7v = -8v -18 + -8v = -2 + 7v + -7v Combine like terms: 7v + -7v = 0 -18 + -8v = -2 + 0 -18 + -8v = -2 Add '18' to each side of the equation. -18 + 18 + -8v = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -8v = -2 + 18 -8v = -2 + 18 Combine like terms: -2 + 18 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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