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Simplifying 42 = 7(-6 + v) 42 = (-6 * 7 + v * 7) 42 = (-42 + 7v) Solving 42 = -42 + 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. 42 + -7v = -42 + 7v + -7v Combine like terms: 7v + -7v = 0 42 + -7v = -42 + 0 42 + -7v = -42 Add '-42' to each side of the equation. 42 + -42 + -7v = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -7v = -42 + -42 -7v = -42 + -42 Combine like terms: -42 + -42 = -84 -7v = -84 Divide each side by '-7'. v = 12 Simplifying v = 12
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