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Simplifying -4(7v + 1) + -8 = -8v + -3(4v + 4) Reorder the terms: -4(1 + 7v) + -8 = -8v + -3(4v + 4) (1 * -4 + 7v * -4) + -8 = -8v + -3(4v + 4) (-4 + -28v) + -8 = -8v + -3(4v + 4) Reorder the terms: -4 + -8 + -28v = -8v + -3(4v + 4) Combine like terms: -4 + -8 = -12 -12 + -28v = -8v + -3(4v + 4) Reorder the terms: -12 + -28v = -8v + -3(4 + 4v) -12 + -28v = -8v + (4 * -3 + 4v * -3) -12 + -28v = -8v + (-12 + -12v) Reorder the terms: -12 + -28v = -12 + -8v + -12v Combine like terms: -8v + -12v = -20v -12 + -28v = -12 + -20v Add '12' to each side of the equation. -12 + 12 + -28v = -12 + 12 + -20v Combine like terms: -12 + 12 = 0 0 + -28v = -12 + 12 + -20v -28v = -12 + 12 + -20v Combine like terms: -12 + 12 = 0 -28v = 0 + -20v -28v = -20v Solving -28v = -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. -28v + 20v = -20v + 20v Combine like terms: -28v + 20v = -8v -8v = -20v + 20v Combine like terms: -20v + 20v = 0 -8v = 0 Divide each side by '-8'. v = 0 Simplifying v = 0
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