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Simplifying -107 = -2 + -5(-5v + 6) Reorder the terms: -107 = -2 + -5(6 + -5v) -107 = -2 + (6 * -5 + -5v * -5) -107 = -2 + (-30 + 25v) Combine like terms: -2 + -30 = -32 -107 = -32 + 25v Solving -107 = -32 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. -107 + -25v = -32 + 25v + -25v Combine like terms: 25v + -25v = 0 -107 + -25v = -32 + 0 -107 + -25v = -32 Add '107' to each side of the equation. -107 + 107 + -25v = -32 + 107 Combine like terms: -107 + 107 = 0 0 + -25v = -32 + 107 -25v = -32 + 107 Combine like terms: -32 + 107 = 75 -25v = 75 Divide each side by '-25'. v = -3 Simplifying v = -3
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