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Simplifying 4(v + -3) + 4v = 37 + v Reorder the terms: 4(-3 + v) + 4v = 37 + v (-3 * 4 + v * 4) + 4v = 37 + v (-12 + 4v) + 4v = 37 + v Combine like terms: 4v + 4v = 8v -12 + 8v = 37 + v Solving -12 + 8v = 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. -12 + 8v + -1v = 37 + v + -1v Combine like terms: 8v + -1v = 7v -12 + 7v = 37 + v + -1v Combine like terms: v + -1v = 0 -12 + 7v = 37 + 0 -12 + 7v = 37 Add '12' to each side of the equation. -12 + 12 + 7v = 37 + 12 Combine like terms: -12 + 12 = 0 0 + 7v = 37 + 12 7v = 37 + 12 Combine like terms: 37 + 12 = 49 7v = 49 Divide each side by '7'. v = 7 Simplifying v = 7
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