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Simplifying -4(v + 3) + 2v + 5 = 7v + 10 Reorder the terms: -4(3 + v) + 2v + 5 = 7v + 10 (3 * -4 + v * -4) + 2v + 5 = 7v + 10 (-12 + -4v) + 2v + 5 = 7v + 10 Reorder the terms: -12 + 5 + -4v + 2v = 7v + 10 Combine like terms: -12 + 5 = -7 -7 + -4v + 2v = 7v + 10 Combine like terms: -4v + 2v = -2v -7 + -2v = 7v + 10 Reorder the terms: -7 + -2v = 10 + 7v Solving -7 + -2v = 10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -7 + -2v + -7v = 10 + 7v + -7v Combine like terms: -2v + -7v = -9v -7 + -9v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -7 + -9v = 10 + 0 -7 + -9v = 10 Add '7' to each side of the equation. -7 + 7 + -9v = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -9v = 10 + 7 -9v = 10 + 7 Combine like terms: 10 + 7 = 17 -9v = 17 Divide each side by '-9'. v = -1.888888889 Simplifying v = -1.888888889
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