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Simplifying -37 + 2v = 4v + 7(3 + 8v) -37 + 2v = 4v + (3 * 7 + 8v * 7) -37 + 2v = 4v + (21 + 56v) Reorder the terms: -37 + 2v = 21 + 4v + 56v Combine like terms: 4v + 56v = 60v -37 + 2v = 21 + 60v Solving -37 + 2v = 21 + 60v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-60v' to each side of the equation. -37 + 2v + -60v = 21 + 60v + -60v Combine like terms: 2v + -60v = -58v -37 + -58v = 21 + 60v + -60v Combine like terms: 60v + -60v = 0 -37 + -58v = 21 + 0 -37 + -58v = 21 Add '37' to each side of the equation. -37 + 37 + -58v = 21 + 37 Combine like terms: -37 + 37 = 0 0 + -58v = 21 + 37 -58v = 21 + 37 Combine like terms: 21 + 37 = 58 -58v = 58 Divide each side by '-58'. v = -1 Simplifying v = -1
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