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Simplifying -5(7 + 7v) = -3(10v + 8) + -6 (7 * -5 + 7v * -5) = -3(10v + 8) + -6 (-35 + -35v) = -3(10v + 8) + -6 Reorder the terms: -35 + -35v = -3(8 + 10v) + -6 -35 + -35v = (8 * -3 + 10v * -3) + -6 -35 + -35v = (-24 + -30v) + -6 Reorder the terms: -35 + -35v = -24 + -6 + -30v Combine like terms: -24 + -6 = -30 -35 + -35v = -30 + -30v Solving -35 + -35v = -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. -35 + -35v + 30v = -30 + -30v + 30v Combine like terms: -35v + 30v = -5v -35 + -5v = -30 + -30v + 30v Combine like terms: -30v + 30v = 0 -35 + -5v = -30 + 0 -35 + -5v = -30 Add '35' to each side of the equation. -35 + 35 + -5v = -30 + 35 Combine like terms: -35 + 35 = 0 0 + -5v = -30 + 35 -5v = -30 + 35 Combine like terms: -30 + 35 = 5 -5v = 5 Divide each side by '-5'. v = -1 Simplifying v = -1
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