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Simplifying 100 = 5(2v + 6) Reorder the terms: 100 = 5(6 + 2v) 100 = (6 * 5 + 2v * 5) 100 = (30 + 10v) Solving 100 = 30 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 100 + -10v = 30 + 10v + -10v Combine like terms: 10v + -10v = 0 100 + -10v = 30 + 0 100 + -10v = 30 Add '-100' to each side of the equation. 100 + -100 + -10v = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -10v = 30 + -100 -10v = 30 + -100 Combine like terms: 30 + -100 = -70 -10v = -70 Divide each side by '-10'. v = 7 Simplifying v = 7
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