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Simplifying -4(12 + 6v) + 10 = 2 + 4(-10 + -2v) (12 * -4 + 6v * -4) + 10 = 2 + 4(-10 + -2v) (-48 + -24v) + 10 = 2 + 4(-10 + -2v) Reorder the terms: -48 + 10 + -24v = 2 + 4(-10 + -2v) Combine like terms: -48 + 10 = -38 -38 + -24v = 2 + 4(-10 + -2v) -38 + -24v = 2 + (-10 * 4 + -2v * 4) -38 + -24v = 2 + (-40 + -8v) Combine like terms: 2 + -40 = -38 -38 + -24v = -38 + -8v Add '38' to each side of the equation. -38 + 38 + -24v = -38 + 38 + -8v Combine like terms: -38 + 38 = 0 0 + -24v = -38 + 38 + -8v -24v = -38 + 38 + -8v Combine like terms: -38 + 38 = 0 -24v = 0 + -8v -24v = -8v Solving -24v = -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -24v + 8v = -8v + 8v Combine like terms: -24v + 8v = -16v -16v = -8v + 8v Combine like terms: -8v + 8v = 0 -16v = 0 Divide each side by '-16'. v = 0 Simplifying v = 0
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