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Simplifying -58 = 2(5 + -4v) + -7(-8v + -4) -58 = (5 * 2 + -4v * 2) + -7(-8v + -4) -58 = (10 + -8v) + -7(-8v + -4) Reorder the terms: -58 = 10 + -8v + -7(-4 + -8v) -58 = 10 + -8v + (-4 * -7 + -8v * -7) -58 = 10 + -8v + (28 + 56v) Reorder the terms: -58 = 10 + 28 + -8v + 56v Combine like terms: 10 + 28 = 38 -58 = 38 + -8v + 56v Combine like terms: -8v + 56v = 48v -58 = 38 + 48v Solving -58 = 38 + 48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48v' to each side of the equation. -58 + -48v = 38 + 48v + -48v Combine like terms: 48v + -48v = 0 -58 + -48v = 38 + 0 -58 + -48v = 38 Add '58' to each side of the equation. -58 + 58 + -48v = 38 + 58 Combine like terms: -58 + 58 = 0 0 + -48v = 38 + 58 -48v = 38 + 58 Combine like terms: 38 + 58 = 96 -48v = 96 Divide each side by '-48'. v = -2 Simplifying v = -2
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