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Simplifying 4(-11v + -1) + -5(-10v + 5) = 6v + -8 + 7v Reorder the terms: 4(-1 + -11v) + -5(-10v + 5) = 6v + -8 + 7v (-1 * 4 + -11v * 4) + -5(-10v + 5) = 6v + -8 + 7v (-4 + -44v) + -5(-10v + 5) = 6v + -8 + 7v Reorder the terms: -4 + -44v + -5(5 + -10v) = 6v + -8 + 7v -4 + -44v + (5 * -5 + -10v * -5) = 6v + -8 + 7v -4 + -44v + (-25 + 50v) = 6v + -8 + 7v Reorder the terms: -4 + -25 + -44v + 50v = 6v + -8 + 7v Combine like terms: -4 + -25 = -29 -29 + -44v + 50v = 6v + -8 + 7v Combine like terms: -44v + 50v = 6v -29 + 6v = 6v + -8 + 7v Reorder the terms: -29 + 6v = -8 + 6v + 7v Combine like terms: 6v + 7v = 13v -29 + 6v = -8 + 13v Solving -29 + 6v = -8 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -29 + 6v + -13v = -8 + 13v + -13v Combine like terms: 6v + -13v = -7v -29 + -7v = -8 + 13v + -13v Combine like terms: 13v + -13v = 0 -29 + -7v = -8 + 0 -29 + -7v = -8 Add '29' to each side of the equation. -29 + 29 + -7v = -8 + 29 Combine like terms: -29 + 29 = 0 0 + -7v = -8 + 29 -7v = -8 + 29 Combine like terms: -8 + 29 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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