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Simplifying -23 + 7v = -5(8v + 6) + 7 Reorder the terms: -23 + 7v = -5(6 + 8v) + 7 -23 + 7v = (6 * -5 + 8v * -5) + 7 -23 + 7v = (-30 + -40v) + 7 Reorder the terms: -23 + 7v = -30 + 7 + -40v Combine like terms: -30 + 7 = -23 -23 + 7v = -23 + -40v Add '23' to each side of the equation. -23 + 23 + 7v = -23 + 23 + -40v Combine like terms: -23 + 23 = 0 0 + 7v = -23 + 23 + -40v 7v = -23 + 23 + -40v Combine like terms: -23 + 23 = 0 7v = 0 + -40v 7v = -40v Solving 7v = -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. 7v + 40v = -40v + 40v Combine like terms: 7v + 40v = 47v 47v = -40v + 40v Combine like terms: -40v + 40v = 0 47v = 0 Divide each side by '47'. v = 0 Simplifying v = 0
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