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Simplifying -72 = -7(v + -6) + -5(3v + -8) Reorder the terms: -72 = -7(-6 + v) + -5(3v + -8) -72 = (-6 * -7 + v * -7) + -5(3v + -8) -72 = (42 + -7v) + -5(3v + -8) Reorder the terms: -72 = 42 + -7v + -5(-8 + 3v) -72 = 42 + -7v + (-8 * -5 + 3v * -5) -72 = 42 + -7v + (40 + -15v) Reorder the terms: -72 = 42 + 40 + -7v + -15v Combine like terms: 42 + 40 = 82 -72 = 82 + -7v + -15v Combine like terms: -7v + -15v = -22v -72 = 82 + -22v Solving -72 = 82 + -22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '22v' to each side of the equation. -72 + 22v = 82 + -22v + 22v Combine like terms: -22v + 22v = 0 -72 + 22v = 82 + 0 -72 + 22v = 82 Add '72' to each side of the equation. -72 + 72 + 22v = 82 + 72 Combine like terms: -72 + 72 = 0 0 + 22v = 82 + 72 22v = 82 + 72 Combine like terms: 82 + 72 = 154 22v = 154 Divide each side by '22'. v = 7 Simplifying v = 7
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