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Simplifying -7(6 + 3v) = 23 + -8v (6 * -7 + 3v * -7) = 23 + -8v (-42 + -21v) = 23 + -8v Solving -42 + -21v = 23 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -42 + -21v + 8v = 23 + -8v + 8v Combine like terms: -21v + 8v = -13v -42 + -13v = 23 + -8v + 8v Combine like terms: -8v + 8v = 0 -42 + -13v = 23 + 0 -42 + -13v = 23 Add '42' to each side of the equation. -42 + 42 + -13v = 23 + 42 Combine like terms: -42 + 42 = 0 0 + -13v = 23 + 42 -13v = 23 + 42 Combine like terms: 23 + 42 = 65 -13v = 65 Divide each side by '-13'. v = -5 Simplifying v = -5
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