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Simplifying v + 37 = -8(2v + 6) Reorder the terms: 37 + v = -8(2v + 6) Reorder the terms: 37 + v = -8(6 + 2v) 37 + v = (6 * -8 + 2v * -8) 37 + v = (-48 + -16v) Solving 37 + v = -48 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 37 + v + 16v = -48 + -16v + 16v Combine like terms: v + 16v = 17v 37 + 17v = -48 + -16v + 16v Combine like terms: -16v + 16v = 0 37 + 17v = -48 + 0 37 + 17v = -48 Add '-37' to each side of the equation. 37 + -37 + 17v = -48 + -37 Combine like terms: 37 + -37 = 0 0 + 17v = -48 + -37 17v = -48 + -37 Combine like terms: -48 + -37 = -85 17v = -85 Divide each side by '17'. v = -5 Simplifying v = -5
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