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Simplifying -24 + 4v = 7(3v + -6) Reorder the terms: -24 + 4v = 7(-6 + 3v) -24 + 4v = (-6 * 7 + 3v * 7) -24 + 4v = (-42 + 21v) Solving -24 + 4v = -42 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -24 + 4v + -21v = -42 + 21v + -21v Combine like terms: 4v + -21v = -17v -24 + -17v = -42 + 21v + -21v Combine like terms: 21v + -21v = 0 -24 + -17v = -42 + 0 -24 + -17v = -42 Add '24' to each side of the equation. -24 + 24 + -17v = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -17v = -42 + 24 -17v = -42 + 24 Combine like terms: -42 + 24 = -18 -17v = -18 Divide each side by '-17'. v = 1.058823529 Simplifying v = 1.058823529
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