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Simplifying 1 + -3(8v + 3) = -4(4v + -4) Reorder the terms: 1 + -3(3 + 8v) = -4(4v + -4) 1 + (3 * -3 + 8v * -3) = -4(4v + -4) 1 + (-9 + -24v) = -4(4v + -4) Combine like terms: 1 + -9 = -8 -8 + -24v = -4(4v + -4) Reorder the terms: -8 + -24v = -4(-4 + 4v) -8 + -24v = (-4 * -4 + 4v * -4) -8 + -24v = (16 + -16v) Solving -8 + -24v = 16 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -8 + -24v + 16v = 16 + -16v + 16v Combine like terms: -24v + 16v = -8v -8 + -8v = 16 + -16v + 16v Combine like terms: -16v + 16v = 0 -8 + -8v = 16 + 0 -8 + -8v = 16 Add '8' to each side of the equation. -8 + 8 + -8v = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -8v = 16 + 8 -8v = 16 + 8 Combine like terms: 16 + 8 = 24 -8v = 24 Divide each side by '-8'. v = -3 Simplifying v = -3
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