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Simplifying -8v + 8(4 + -7v) = 5v + -37 -8v + (4 * 8 + -7v * 8) = 5v + -37 -8v + (32 + -56v) = 5v + -37 Reorder the terms: 32 + -8v + -56v = 5v + -37 Combine like terms: -8v + -56v = -64v 32 + -64v = 5v + -37 Reorder the terms: 32 + -64v = -37 + 5v Solving 32 + -64v = -37 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 32 + -64v + -5v = -37 + 5v + -5v Combine like terms: -64v + -5v = -69v 32 + -69v = -37 + 5v + -5v Combine like terms: 5v + -5v = 0 32 + -69v = -37 + 0 32 + -69v = -37 Add '-32' to each side of the equation. 32 + -32 + -69v = -37 + -32 Combine like terms: 32 + -32 = 0 0 + -69v = -37 + -32 -69v = -37 + -32 Combine like terms: -37 + -32 = -69 -69v = -69 Divide each side by '-69'. v = 1 Simplifying v = 1
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