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Simplifying -5(5v + 5) + -6 = -13 + -7v Reorder the terms: -5(5 + 5v) + -6 = -13 + -7v (5 * -5 + 5v * -5) + -6 = -13 + -7v (-25 + -25v) + -6 = -13 + -7v Reorder the terms: -25 + -6 + -25v = -13 + -7v Combine like terms: -25 + -6 = -31 -31 + -25v = -13 + -7v Solving -31 + -25v = -13 + -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. -31 + -25v + 7v = -13 + -7v + 7v Combine like terms: -25v + 7v = -18v -31 + -18v = -13 + -7v + 7v Combine like terms: -7v + 7v = 0 -31 + -18v = -13 + 0 -31 + -18v = -13 Add '31' to each side of the equation. -31 + 31 + -18v = -13 + 31 Combine like terms: -31 + 31 = 0 0 + -18v = -13 + 31 -18v = -13 + 31 Combine like terms: -13 + 31 = 18 -18v = 18 Divide each side by '-18'. v = -1 Simplifying v = -1
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