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Simplifying -59 = -5(4v + -7) + 6 Reorder the terms: -59 = -5(-7 + 4v) + 6 -59 = (-7 * -5 + 4v * -5) + 6 -59 = (35 + -20v) + 6 Reorder the terms: -59 = 35 + 6 + -20v Combine like terms: 35 + 6 = 41 -59 = 41 + -20v Solving -59 = 41 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. -59 + 20v = 41 + -20v + 20v Combine like terms: -20v + 20v = 0 -59 + 20v = 41 + 0 -59 + 20v = 41 Add '59' to each side of the equation. -59 + 59 + 20v = 41 + 59 Combine like terms: -59 + 59 = 0 0 + 20v = 41 + 59 20v = 41 + 59 Combine like terms: 41 + 59 = 100 20v = 100 Divide each side by '20'. v = 5 Simplifying v = 5
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