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Simplifying -3 + 8(-2v + 1) = 37 + -8v Reorder the terms: -3 + 8(1 + -2v) = 37 + -8v -3 + (1 * 8 + -2v * 8) = 37 + -8v -3 + (8 + -16v) = 37 + -8v Combine like terms: -3 + 8 = 5 5 + -16v = 37 + -8v Solving 5 + -16v = 37 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 5 + -16v + 8v = 37 + -8v + 8v Combine like terms: -16v + 8v = -8v 5 + -8v = 37 + -8v + 8v Combine like terms: -8v + 8v = 0 5 + -8v = 37 + 0 5 + -8v = 37 Add '-5' to each side of the equation. 5 + -5 + -8v = 37 + -5 Combine like terms: 5 + -5 = 0 0 + -8v = 37 + -5 -8v = 37 + -5 Combine like terms: 37 + -5 = 32 -8v = 32 Divide each side by '-8'. v = -4 Simplifying v = -4
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