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Simplifying -2(5v + 5) = -6(-5 + -5v) Reorder the terms: -2(5 + 5v) = -6(-5 + -5v) (5 * -2 + 5v * -2) = -6(-5 + -5v) (-10 + -10v) = -6(-5 + -5v) -10 + -10v = (-5 * -6 + -5v * -6) -10 + -10v = (30 + 30v) Solving -10 + -10v = 30 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. -10 + -10v + -30v = 30 + 30v + -30v Combine like terms: -10v + -30v = -40v -10 + -40v = 30 + 30v + -30v Combine like terms: 30v + -30v = 0 -10 + -40v = 30 + 0 -10 + -40v = 30 Add '10' to each side of the equation. -10 + 10 + -40v = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -40v = 30 + 10 -40v = 30 + 10 Combine like terms: 30 + 10 = 40 -40v = 40 Divide each side by '-40'. v = -1 Simplifying v = -1
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