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Simplifying -20 = 5(-6v + -8) + 4(5 + -7v) Reorder the terms: -20 = 5(-8 + -6v) + 4(5 + -7v) -20 = (-8 * 5 + -6v * 5) + 4(5 + -7v) -20 = (-40 + -30v) + 4(5 + -7v) -20 = -40 + -30v + (5 * 4 + -7v * 4) -20 = -40 + -30v + (20 + -28v) Reorder the terms: -20 = -40 + 20 + -30v + -28v Combine like terms: -40 + 20 = -20 -20 = -20 + -30v + -28v Combine like terms: -30v + -28v = -58v -20 = -20 + -58v Add '20' to each side of the equation. -20 + 20 = -20 + 20 + -58v Combine like terms: -20 + 20 = 0 0 = -20 + 20 + -58v Combine like terms: -20 + 20 = 0 0 = 0 + -58v 0 = -58v Solving 0 = -58v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '58v' to each side of the equation. 0 + 58v = -58v + 58v Remove the zero: 58v = -58v + 58v Combine like terms: -58v + 58v = 0 58v = 0 Divide each side by '58'. v = 0 Simplifying v = 0
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