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Simplifying 4(5v + -7) = 37 + 7v Reorder the terms: 4(-7 + 5v) = 37 + 7v (-7 * 4 + 5v * 4) = 37 + 7v (-28 + 20v) = 37 + 7v Solving -28 + 20v = 37 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -28 + 20v + -7v = 37 + 7v + -7v Combine like terms: 20v + -7v = 13v -28 + 13v = 37 + 7v + -7v Combine like terms: 7v + -7v = 0 -28 + 13v = 37 + 0 -28 + 13v = 37 Add '28' to each side of the equation. -28 + 28 + 13v = 37 + 28 Combine like terms: -28 + 28 = 0 0 + 13v = 37 + 28 13v = 37 + 28 Combine like terms: 37 + 28 = 65 13v = 65 Divide each side by '13'. v = 5 Simplifying v = 5
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