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Simplifying 7v + 12 = -5(7 + 8v) Reorder the terms: 12 + 7v = -5(7 + 8v) 12 + 7v = (7 * -5 + 8v * -5) 12 + 7v = (-35 + -40v) Solving 12 + 7v = -35 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. 12 + 7v + 40v = -35 + -40v + 40v Combine like terms: 7v + 40v = 47v 12 + 47v = -35 + -40v + 40v Combine like terms: -40v + 40v = 0 12 + 47v = -35 + 0 12 + 47v = -35 Add '-12' to each side of the equation. 12 + -12 + 47v = -35 + -12 Combine like terms: 12 + -12 = 0 0 + 47v = -35 + -12 47v = -35 + -12 Combine like terms: -35 + -12 = -47 47v = -47 Divide each side by '47'. v = -1 Simplifying v = -1
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