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Simplifying 5(1 + -2v) + -6 = -2v + 7 (1 * 5 + -2v * 5) + -6 = -2v + 7 (5 + -10v) + -6 = -2v + 7 Reorder the terms: 5 + -6 + -10v = -2v + 7 Combine like terms: 5 + -6 = -1 -1 + -10v = -2v + 7 Reorder the terms: -1 + -10v = 7 + -2v Solving -1 + -10v = 7 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -1 + -10v + 2v = 7 + -2v + 2v Combine like terms: -10v + 2v = -8v -1 + -8v = 7 + -2v + 2v Combine like terms: -2v + 2v = 0 -1 + -8v = 7 + 0 -1 + -8v = 7 Add '1' to each side of the equation. -1 + 1 + -8v = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -8v = 7 + 1 -8v = 7 + 1 Combine like terms: 7 + 1 = 8 -8v = 8 Divide each side by '-8'. v = -1 Simplifying v = -1
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