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Simplifying -7 + -8(-6 + 4v) = 233 -7 + (-6 * -8 + 4v * -8) = 233 -7 + (48 + -32v) = 233 Combine like terms: -7 + 48 = 41 41 + -32v = 233 Solving 41 + -32v = 233 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -32v = 233 + -41 Combine like terms: 41 + -41 = 0 0 + -32v = 233 + -41 -32v = 233 + -41 Combine like terms: 233 + -41 = 192 -32v = 192 Divide each side by '-32'. v = -6 Simplifying v = -6
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