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Simplifying -238 = 5(7v + 7) + 7 Reorder the terms: -238 = 5(7 + 7v) + 7 -238 = (7 * 5 + 7v * 5) + 7 -238 = (35 + 35v) + 7 Reorder the terms: -238 = 35 + 7 + 35v Combine like terms: 35 + 7 = 42 -238 = 42 + 35v Solving -238 = 42 + 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. -238 + -35v = 42 + 35v + -35v Combine like terms: 35v + -35v = 0 -238 + -35v = 42 + 0 -238 + -35v = 42 Add '238' to each side of the equation. -238 + 238 + -35v = 42 + 238 Combine like terms: -238 + 238 = 0 0 + -35v = 42 + 238 -35v = 42 + 238 Combine like terms: 42 + 238 = 280 -35v = 280 Divide each side by '-35'. v = -8 Simplifying v = -8
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