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Simplifying 8(v + -5) = -2(-7v + -7) Reorder the terms: 8(-5 + v) = -2(-7v + -7) (-5 * 8 + v * 8) = -2(-7v + -7) (-40 + 8v) = -2(-7v + -7) Reorder the terms: -40 + 8v = -2(-7 + -7v) -40 + 8v = (-7 * -2 + -7v * -2) -40 + 8v = (14 + 14v) Solving -40 + 8v = 14 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -40 + 8v + -14v = 14 + 14v + -14v Combine like terms: 8v + -14v = -6v -40 + -6v = 14 + 14v + -14v Combine like terms: 14v + -14v = 0 -40 + -6v = 14 + 0 -40 + -6v = 14 Add '40' to each side of the equation. -40 + 40 + -6v = 14 + 40 Combine like terms: -40 + 40 = 0 0 + -6v = 14 + 40 -6v = 14 + 40 Combine like terms: 14 + 40 = 54 -6v = 54 Divide each side by '-6'. v = -9 Simplifying v = -9
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