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Simplifying -24 + -7v = -4(-7v + -2) + -3v Reorder the terms: -24 + -7v = -4(-2 + -7v) + -3v -24 + -7v = (-2 * -4 + -7v * -4) + -3v -24 + -7v = (8 + 28v) + -3v Combine like terms: 28v + -3v = 25v -24 + -7v = 8 + 25v Solving -24 + -7v = 8 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. -24 + -7v + -25v = 8 + 25v + -25v Combine like terms: -7v + -25v = -32v -24 + -32v = 8 + 25v + -25v Combine like terms: 25v + -25v = 0 -24 + -32v = 8 + 0 -24 + -32v = 8 Add '24' to each side of the equation. -24 + 24 + -32v = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -32v = 8 + 24 -32v = 8 + 24 Combine like terms: 8 + 24 = 32 -32v = 32 Divide each side by '-32'. v = -1 Simplifying v = -1
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