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Simplifying -178.1569 = -7.26v + -2.542(6.5v + 7.4) Reorder the terms: -178.1569 = -7.26v + -2.542(7.4 + 6.5v) -178.1569 = -7.26v + (7.4 * -2.542 + 6.5v * -2.542) -178.1569 = -7.26v + (-18.8108 + -16.523v) Reorder the terms: -178.1569 = -18.8108 + -7.26v + -16.523v Combine like terms: -7.26v + -16.523v = -23.783v -178.1569 = -18.8108 + -23.783v Solving -178.1569 = -18.8108 + -23.783v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '23.783v' to each side of the equation. -178.1569 + 23.783v = -18.8108 + -23.783v + 23.783v Combine like terms: -23.783v + 23.783v = 0.000 -178.1569 + 23.783v = -18.8108 + 0.000 -178.1569 + 23.783v = -18.8108 Add '178.1569' to each side of the equation. -178.1569 + 178.1569 + 23.783v = -18.8108 + 178.1569 Combine like terms: -178.1569 + 178.1569 = 0.0000 0.0000 + 23.783v = -18.8108 + 178.1569 23.783v = -18.8108 + 178.1569 Combine like terms: -18.8108 + 178.1569 = 159.3461 23.783v = 159.3461 Divide each side by '23.783'. v = 6.7 Simplifying v = 6.7
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