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Simplifying 210 = 5(7v + 7) Reorder the terms: 210 = 5(7 + 7v) 210 = (7 * 5 + 7v * 5) 210 = (35 + 35v) Solving 210 = 35 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. 210 + -35v = 35 + 35v + -35v Combine like terms: 35v + -35v = 0 210 + -35v = 35 + 0 210 + -35v = 35 Add '-210' to each side of the equation. 210 + -210 + -35v = 35 + -210 Combine like terms: 210 + -210 = 0 0 + -35v = 35 + -210 -35v = 35 + -210 Combine like terms: 35 + -210 = -175 -35v = -175 Divide each side by '-35'. v = 5 Simplifying v = 5
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