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Simplifying 5(2v + -6) + 1 = -109 Reorder the terms: 5(-6 + 2v) + 1 = -109 (-6 * 5 + 2v * 5) + 1 = -109 (-30 + 10v) + 1 = -109 Reorder the terms: -30 + 1 + 10v = -109 Combine like terms: -30 + 1 = -29 -29 + 10v = -109 Solving -29 + 10v = -109 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 10v = -109 + 29 Combine like terms: -29 + 29 = 0 0 + 10v = -109 + 29 10v = -109 + 29 Combine like terms: -109 + 29 = -80 10v = -80 Divide each side by '10'. v = -8 Simplifying v = -8
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