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Simplifying -22 + 8v = 7(4v + -6) Reorder the terms: -22 + 8v = 7(-6 + 4v) -22 + 8v = (-6 * 7 + 4v * 7) -22 + 8v = (-42 + 28v) Solving -22 + 8v = -42 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. -22 + 8v + -28v = -42 + 28v + -28v Combine like terms: 8v + -28v = -20v -22 + -20v = -42 + 28v + -28v Combine like terms: 28v + -28v = 0 -22 + -20v = -42 + 0 -22 + -20v = -42 Add '22' to each side of the equation. -22 + 22 + -20v = -42 + 22 Combine like terms: -22 + 22 = 0 0 + -20v = -42 + 22 -20v = -42 + 22 Combine like terms: -42 + 22 = -20 -20v = -20 Divide each side by '-20'. v = 1 Simplifying v = 1
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