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Simplifying 8(v + 6) = -3v + -29 Reorder the terms: 8(6 + v) = -3v + -29 (6 * 8 + v * 8) = -3v + -29 (48 + 8v) = -3v + -29 Reorder the terms: 48 + 8v = -29 + -3v Solving 48 + 8v = -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. 48 + 8v + 3v = -29 + -3v + 3v Combine like terms: 8v + 3v = 11v 48 + 11v = -29 + -3v + 3v Combine like terms: -3v + 3v = 0 48 + 11v = -29 + 0 48 + 11v = -29 Add '-48' to each side of the equation. 48 + -48 + 11v = -29 + -48 Combine like terms: 48 + -48 = 0 0 + 11v = -29 + -48 11v = -29 + -48 Combine like terms: -29 + -48 = -77 11v = -77 Divide each side by '11'. v = -7 Simplifying v = -7
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