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Simplifying 4(8 + -3v) = 37 + -7v (8 * 4 + -3v * 4) = 37 + -7v (32 + -12v) = 37 + -7v Solving 32 + -12v = 37 + -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 + -12v + 7v = 37 + -7v + 7v Combine like terms: -12v + 7v = -5v 32 + -5v = 37 + -7v + 7v Combine like terms: -7v + 7v = 0 32 + -5v = 37 + 0 32 + -5v = 37 Add '-32' to each side of the equation. 32 + -32 + -5v = 37 + -32 Combine like terms: 32 + -32 = 0 0 + -5v = 37 + -32 -5v = 37 + -32 Combine like terms: 37 + -32 = 5 -5v = 5 Divide each side by '-5'. v = -1 Simplifying v = -1
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