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Simplifying -5(v + 8) = 3v + -28 Reorder the terms: -5(8 + v) = 3v + -28 (8 * -5 + v * -5) = 3v + -28 (-40 + -5v) = 3v + -28 Reorder the terms: -40 + -5v = -28 + 3v Solving -40 + -5v = -28 + 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 = -28 + 3v + -3v Combine like terms: -5v + -3v = -8v -40 + -8v = -28 + 3v + -3v Combine like terms: 3v + -3v = 0 -40 + -8v = -28 + 0 -40 + -8v = -28 Add '40' to each side of the equation. -40 + 40 + -8v = -28 + 40 Combine like terms: -40 + 40 = 0 0 + -8v = -28 + 40 -8v = -28 + 40 Combine like terms: -28 + 40 = 12 -8v = 12 Divide each side by '-8'. v = -1.5 Simplifying v = -1.5
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