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Simplifying 11 + -5(v + 8) = -1(9v + -3) Reorder the terms: 11 + -5(8 + v) = -1(9v + -3) 11 + (8 * -5 + v * -5) = -1(9v + -3) 11 + (-40 + -5v) = -1(9v + -3) Combine like terms: 11 + -40 = -29 -29 + -5v = -1(9v + -3) Reorder the terms: -29 + -5v = -1(-3 + 9v) -29 + -5v = (-3 * -1 + 9v * -1) -29 + -5v = (3 + -9v) Solving -29 + -5v = 3 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -29 + -5v + 9v = 3 + -9v + 9v Combine like terms: -5v + 9v = 4v -29 + 4v = 3 + -9v + 9v Combine like terms: -9v + 9v = 0 -29 + 4v = 3 + 0 -29 + 4v = 3 Add '29' to each side of the equation. -29 + 29 + 4v = 3 + 29 Combine like terms: -29 + 29 = 0 0 + 4v = 3 + 29 4v = 3 + 29 Combine like terms: 3 + 29 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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