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Simplifying 5v + 29 = -3(v + 1) Reorder the terms: 29 + 5v = -3(v + 1) Reorder the terms: 29 + 5v = -3(1 + v) 29 + 5v = (1 * -3 + v * -3) 29 + 5v = (-3 + -3v) Solving 29 + 5v = -3 + -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. 29 + 5v + 3v = -3 + -3v + 3v Combine like terms: 5v + 3v = 8v 29 + 8v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 29 + 8v = -3 + 0 29 + 8v = -3 Add '-29' to each side of the equation. 29 + -29 + 8v = -3 + -29 Combine like terms: 29 + -29 = 0 0 + 8v = -3 + -29 8v = -3 + -29 Combine like terms: -3 + -29 = -32 8v = -32 Divide each side by '8'. v = -4 Simplifying v = -4
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