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Simplifying -6v + -8(2v + -4) = v + -37 Reorder the terms: -6v + -8(-4 + 2v) = v + -37 -6v + (-4 * -8 + 2v * -8) = v + -37 -6v + (32 + -16v) = v + -37 Reorder the terms: 32 + -6v + -16v = v + -37 Combine like terms: -6v + -16v = -22v 32 + -22v = v + -37 Reorder the terms: 32 + -22v = -37 + v Solving 32 + -22v = -37 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 32 + -22v + -1v = -37 + v + -1v Combine like terms: -22v + -1v = -23v 32 + -23v = -37 + v + -1v Combine like terms: v + -1v = 0 32 + -23v = -37 + 0 32 + -23v = -37 Add '-32' to each side of the equation. 32 + -32 + -23v = -37 + -32 Combine like terms: 32 + -32 = 0 0 + -23v = -37 + -32 -23v = -37 + -32 Combine like terms: -37 + -32 = -69 -23v = -69 Divide each side by '-23'. v = 3 Simplifying v = 3
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