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Simplifying 4(1 + -7v) = v + 4 (1 * 4 + -7v * 4) = v + 4 (4 + -28v) = v + 4 Reorder the terms: 4 + -28v = 4 + v Add '-4' to each side of the equation. 4 + -4 + -28v = 4 + -4 + v Combine like terms: 4 + -4 = 0 0 + -28v = 4 + -4 + v -28v = 4 + -4 + v Combine like terms: 4 + -4 = 0 -28v = 0 + v -28v = v Solving -28v = v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -28v + -1v = v + -1v Combine like terms: -28v + -1v = -29v -29v = v + -1v Combine like terms: v + -1v = 0 -29v = 0 Divide each side by '-29'. v = 0 Simplifying v = 0
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