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Simplifying -4(5v + 7) = 4(-7v + -5) Reorder the terms: -4(7 + 5v) = 4(-7v + -5) (7 * -4 + 5v * -4) = 4(-7v + -5) (-28 + -20v) = 4(-7v + -5) Reorder the terms: -28 + -20v = 4(-5 + -7v) -28 + -20v = (-5 * 4 + -7v * 4) -28 + -20v = (-20 + -28v) Solving -28 + -20v = -20 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -28 + -20v + 28v = -20 + -28v + 28v Combine like terms: -20v + 28v = 8v -28 + 8v = -20 + -28v + 28v Combine like terms: -28v + 28v = 0 -28 + 8v = -20 + 0 -28 + 8v = -20 Add '28' to each side of the equation. -28 + 28 + 8v = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 8v = -20 + 28 8v = -20 + 28 Combine like terms: -20 + 28 = 8 8v = 8 Divide each side by '8'. v = 1 Simplifying v = 1
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