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Simplifying 7(v + -2) + -4 = -4(-6v + 7) + -1v Reorder the terms: 7(-2 + v) + -4 = -4(-6v + 7) + -1v (-2 * 7 + v * 7) + -4 = -4(-6v + 7) + -1v (-14 + 7v) + -4 = -4(-6v + 7) + -1v Reorder the terms: -14 + -4 + 7v = -4(-6v + 7) + -1v Combine like terms: -14 + -4 = -18 -18 + 7v = -4(-6v + 7) + -1v Reorder the terms: -18 + 7v = -4(7 + -6v) + -1v -18 + 7v = (7 * -4 + -6v * -4) + -1v -18 + 7v = (-28 + 24v) + -1v Combine like terms: 24v + -1v = 23v -18 + 7v = -28 + 23v Solving -18 + 7v = -28 + 23v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23v' to each side of the equation. -18 + 7v + -23v = -28 + 23v + -23v Combine like terms: 7v + -23v = -16v -18 + -16v = -28 + 23v + -23v Combine like terms: 23v + -23v = 0 -18 + -16v = -28 + 0 -18 + -16v = -28 Add '18' to each side of the equation. -18 + 18 + -16v = -28 + 18 Combine like terms: -18 + 18 = 0 0 + -16v = -28 + 18 -16v = -28 + 18 Combine like terms: -28 + 18 = -10 -16v = -10 Divide each side by '-16'. v = 0.625 Simplifying v = 0.625
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