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Simplifying -7v + -10 = -3(v + -6) Reorder the terms: -10 + -7v = -3(v + -6) Reorder the terms: -10 + -7v = -3(-6 + v) -10 + -7v = (-6 * -3 + v * -3) -10 + -7v = (18 + -3v) Solving -10 + -7v = 18 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -10 + -7v + 3v = 18 + -3v + 3v Combine like terms: -7v + 3v = -4v -10 + -4v = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 -10 + -4v = 18 + 0 -10 + -4v = 18 Add '10' to each side of the equation. -10 + 10 + -4v = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -4v = 18 + 10 -4v = 18 + 10 Combine like terms: 18 + 10 = 28 -4v = 28 Divide each side by '-4'. v = -7 Simplifying v = -7
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