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Simplifying -16 + -1v = 5(7v + 4) Reorder the terms: -16 + -1v = 5(4 + 7v) -16 + -1v = (4 * 5 + 7v * 5) -16 + -1v = (20 + 35v) Solving -16 + -1v = 20 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. -16 + -1v + -35v = 20 + 35v + -35v Combine like terms: -1v + -35v = -36v -16 + -36v = 20 + 35v + -35v Combine like terms: 35v + -35v = 0 -16 + -36v = 20 + 0 -16 + -36v = 20 Add '16' to each side of the equation. -16 + 16 + -36v = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -36v = 20 + 16 -36v = 20 + 16 Combine like terms: 20 + 16 = 36 -36v = 36 Divide each side by '-36'. v = -1 Simplifying v = -1
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