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Simplifying 8(v + -5) + (5 + -3v) = 1 + -2v + -6 + -1v Reorder the terms: 8(-5 + v) + (5 + -3v) = 1 + -2v + -6 + -1v (-5 * 8 + v * 8) + (5 + -3v) = 1 + -2v + -6 + -1v (-40 + 8v) + (5 + -3v) = 1 + -2v + -6 + -1v Remove parenthesis around (5 + -3v) -40 + 8v + 5 + -3v = 1 + -2v + -6 + -1v Reorder the terms: -40 + 5 + 8v + -3v = 1 + -2v + -6 + -1v Combine like terms: -40 + 5 = -35 -35 + 8v + -3v = 1 + -2v + -6 + -1v Combine like terms: 8v + -3v = 5v -35 + 5v = 1 + -2v + -6 + -1v Reorder the terms: -35 + 5v = 1 + -6 + -2v + -1v Combine like terms: 1 + -6 = -5 -35 + 5v = -5 + -2v + -1v Combine like terms: -2v + -1v = -3v -35 + 5v = -5 + -3v Solving -35 + 5v = -5 + -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. -35 + 5v + 3v = -5 + -3v + 3v Combine like terms: 5v + 3v = 8v -35 + 8v = -5 + -3v + 3v Combine like terms: -3v + 3v = 0 -35 + 8v = -5 + 0 -35 + 8v = -5 Add '35' to each side of the equation. -35 + 35 + 8v = -5 + 35 Combine like terms: -35 + 35 = 0 0 + 8v = -5 + 35 8v = -5 + 35 Combine like terms: -5 + 35 = 30 8v = 30 Divide each side by '8'. v = 3.75 Simplifying v = 3.75
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