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Simplifying 4(v + -8) = 7v + -2 Reorder the terms: 4(-8 + v) = 7v + -2 (-8 * 4 + v * 4) = 7v + -2 (-32 + 4v) = 7v + -2 Reorder the terms: -32 + 4v = -2 + 7v Solving -32 + 4v = -2 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -32 + 4v + -7v = -2 + 7v + -7v Combine like terms: 4v + -7v = -3v -32 + -3v = -2 + 7v + -7v Combine like terms: 7v + -7v = 0 -32 + -3v = -2 + 0 -32 + -3v = -2 Add '32' to each side of the equation. -32 + 32 + -3v = -2 + 32 Combine like terms: -32 + 32 = 0 0 + -3v = -2 + 32 -3v = -2 + 32 Combine like terms: -2 + 32 = 30 -3v = 30 Divide each side by '-3'. v = -10 Simplifying v = -10
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