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Simplifying 1 + 8v = 8(7 + -5v) + -7v 1 + 8v = (7 * 8 + -5v * 8) + -7v 1 + 8v = (56 + -40v) + -7v Combine like terms: -40v + -7v = -47v 1 + 8v = 56 + -47v Solving 1 + 8v = 56 + -47v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '47v' to each side of the equation. 1 + 8v + 47v = 56 + -47v + 47v Combine like terms: 8v + 47v = 55v 1 + 55v = 56 + -47v + 47v Combine like terms: -47v + 47v = 0 1 + 55v = 56 + 0 1 + 55v = 56 Add '-1' to each side of the equation. 1 + -1 + 55v = 56 + -1 Combine like terms: 1 + -1 = 0 0 + 55v = 56 + -1 55v = 56 + -1 Combine like terms: 56 + -1 = 55 55v = 55 Divide each side by '55'. v = 1 Simplifying v = 1
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