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Simplifying -5(-1v + 5) + 19 = -19 + 10v + -12 Reorder the terms: -5(5 + -1v) + 19 = -19 + 10v + -12 (5 * -5 + -1v * -5) + 19 = -19 + 10v + -12 (-25 + 5v) + 19 = -19 + 10v + -12 Reorder the terms: -25 + 19 + 5v = -19 + 10v + -12 Combine like terms: -25 + 19 = -6 -6 + 5v = -19 + 10v + -12 Reorder the terms: -6 + 5v = -19 + -12 + 10v Combine like terms: -19 + -12 = -31 -6 + 5v = -31 + 10v Solving -6 + 5v = -31 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -6 + 5v + -10v = -31 + 10v + -10v Combine like terms: 5v + -10v = -5v -6 + -5v = -31 + 10v + -10v Combine like terms: 10v + -10v = 0 -6 + -5v = -31 + 0 -6 + -5v = -31 Add '6' to each side of the equation. -6 + 6 + -5v = -31 + 6 Combine like terms: -6 + 6 = 0 0 + -5v = -31 + 6 -5v = -31 + 6 Combine like terms: -31 + 6 = -25 -5v = -25 Divide each side by '-5'. v = 5 Simplifying v = 5
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