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Simplifying -5(v + 9) = 8v + -19 Reorder the terms: -5(9 + v) = 8v + -19 (9 * -5 + v * -5) = 8v + -19 (-45 + -5v) = 8v + -19 Reorder the terms: -45 + -5v = -19 + 8v Solving -45 + -5v = -19 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -45 + -5v + -8v = -19 + 8v + -8v Combine like terms: -5v + -8v = -13v -45 + -13v = -19 + 8v + -8v Combine like terms: 8v + -8v = 0 -45 + -13v = -19 + 0 -45 + -13v = -19 Add '45' to each side of the equation. -45 + 45 + -13v = -19 + 45 Combine like terms: -45 + 45 = 0 0 + -13v = -19 + 45 -13v = -19 + 45 Combine like terms: -19 + 45 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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