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Simplifying 24 = -3 + 6(v + 7) Reorder the terms: 24 = -3 + 6(7 + v) 24 = -3 + (7 * 6 + v * 6) 24 = -3 + (42 + 6v) Combine like terms: -3 + 42 = 39 24 = 39 + 6v Solving 24 = 39 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 24 + -6v = 39 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + -6v = 39 + 0 24 + -6v = 39 Add '-24' to each side of the equation. 24 + -24 + -6v = 39 + -24 Combine like terms: 24 + -24 = 0 0 + -6v = 39 + -24 -6v = 39 + -24 Combine like terms: 39 + -24 = 15 -6v = 15 Divide each side by '-6'. v = -2.5 Simplifying v = -2.5
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