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Simplifying 5(v + 8) = -3v + 29 Reorder the terms: 5(8 + v) = -3v + 29 (8 * 5 + v * 5) = -3v + 29 (40 + 5v) = -3v + 29 Reorder the terms: 40 + 5v = 29 + -3v Solving 40 + 5v = 29 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 40 + 5v + 3v = 29 + -3v + 3v Combine like terms: 5v + 3v = 8v 40 + 8v = 29 + -3v + 3v Combine like terms: -3v + 3v = 0 40 + 8v = 29 + 0 40 + 8v = 29 Add '-40' to each side of the equation. 40 + -40 + 8v = 29 + -40 Combine like terms: 40 + -40 = 0 0 + 8v = 29 + -40 8v = 29 + -40 Combine like terms: 29 + -40 = -11 8v = -11 Divide each side by '8'. v = -1.375 Simplifying v = -1.375
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