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Simplifying 6(10v + -15) = 5(-14 + 14v) Reorder the terms: 6(-15 + 10v) = 5(-14 + 14v) (-15 * 6 + 10v * 6) = 5(-14 + 14v) (-90 + 60v) = 5(-14 + 14v) -90 + 60v = (-14 * 5 + 14v * 5) -90 + 60v = (-70 + 70v) Solving -90 + 60v = -70 + 70v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-70v' to each side of the equation. -90 + 60v + -70v = -70 + 70v + -70v Combine like terms: 60v + -70v = -10v -90 + -10v = -70 + 70v + -70v Combine like terms: 70v + -70v = 0 -90 + -10v = -70 + 0 -90 + -10v = -70 Add '90' to each side of the equation. -90 + 90 + -10v = -70 + 90 Combine like terms: -90 + 90 = 0 0 + -10v = -70 + 90 -10v = -70 + 90 Combine like terms: -70 + 90 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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