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Simplifying -4v + -8(3v + -1) = 37 + v Reorder the terms: -4v + -8(-1 + 3v) = 37 + v -4v + (-1 * -8 + 3v * -8) = 37 + v -4v + (8 + -24v) = 37 + v Reorder the terms: 8 + -4v + -24v = 37 + v Combine like terms: -4v + -24v = -28v 8 + -28v = 37 + v Solving 8 + -28v = 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. 8 + -28v + -1v = 37 + v + -1v Combine like terms: -28v + -1v = -29v 8 + -29v = 37 + v + -1v Combine like terms: v + -1v = 0 8 + -29v = 37 + 0 8 + -29v = 37 Add '-8' to each side of the equation. 8 + -8 + -29v = 37 + -8 Combine like terms: 8 + -8 = 0 0 + -29v = 37 + -8 -29v = 37 + -8 Combine like terms: 37 + -8 = 29 -29v = 29 Divide each side by '-29'. v = -1 Simplifying v = -1
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