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Simplifying 175 = 5(4v + 3) Reorder the terms: 175 = 5(3 + 4v) 175 = (3 * 5 + 4v * 5) 175 = (15 + 20v) Solving 175 = 15 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 175 + -20v = 15 + 20v + -20v Combine like terms: 20v + -20v = 0 175 + -20v = 15 + 0 175 + -20v = 15 Add '-175' to each side of the equation. 175 + -175 + -20v = 15 + -175 Combine like terms: 175 + -175 = 0 0 + -20v = 15 + -175 -20v = 15 + -175 Combine like terms: 15 + -175 = -160 -20v = -160 Divide each side by '-20'. v = 8 Simplifying v = 8
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