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Simplifying -37 + -7v = -8(3v + -6) Reorder the terms: -37 + -7v = -8(-6 + 3v) -37 + -7v = (-6 * -8 + 3v * -8) -37 + -7v = (48 + -24v) Solving -37 + -7v = 48 + -24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24v' to each side of the equation. -37 + -7v + 24v = 48 + -24v + 24v Combine like terms: -7v + 24v = 17v -37 + 17v = 48 + -24v + 24v Combine like terms: -24v + 24v = 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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