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Simplifying 6(-12 + -3v) = -8(9 + -5v) + -8v (-12 * 6 + -3v * 6) = -8(9 + -5v) + -8v (-72 + -18v) = -8(9 + -5v) + -8v -72 + -18v = (9 * -8 + -5v * -8) + -8v -72 + -18v = (-72 + 40v) + -8v Combine like terms: 40v + -8v = 32v -72 + -18v = -72 + 32v Add '72' to each side of the equation. -72 + 72 + -18v = -72 + 72 + 32v Combine like terms: -72 + 72 = 0 0 + -18v = -72 + 72 + 32v -18v = -72 + 72 + 32v Combine like terms: -72 + 72 = 0 -18v = 0 + 32v -18v = 32v Solving -18v = 32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32v' to each side of the equation. -18v + -32v = 32v + -32v Combine like terms: -18v + -32v = -50v -50v = 32v + -32v Combine like terms: 32v + -32v = 0 -50v = 0 Divide each side by '-50'. v = 0.0 Simplifying v = 0.0
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