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Simplifying -6(v + 3) + 4v + 7 = 5v + 10 Reorder the terms: -6(3 + v) + 4v + 7 = 5v + 10 (3 * -6 + v * -6) + 4v + 7 = 5v + 10 (-18 + -6v) + 4v + 7 = 5v + 10 Reorder the terms: -18 + 7 + -6v + 4v = 5v + 10 Combine like terms: -18 + 7 = -11 -11 + -6v + 4v = 5v + 10 Combine like terms: -6v + 4v = -2v -11 + -2v = 5v + 10 Reorder the terms: -11 + -2v = 10 + 5v Solving -11 + -2v = 10 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -11 + -2v + -5v = 10 + 5v + -5v Combine like terms: -2v + -5v = -7v -11 + -7v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -11 + -7v = 10 + 0 -11 + -7v = 10 Add '11' to each side of the equation. -11 + 11 + -7v = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -7v = 10 + 11 -7v = 10 + 11 Combine like terms: 10 + 11 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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