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Simplifying -3(v + -6) + -5(2v + -8) = 19 Reorder the terms: -3(-6 + v) + -5(2v + -8) = 19 (-6 * -3 + v * -3) + -5(2v + -8) = 19 (18 + -3v) + -5(2v + -8) = 19 Reorder the terms: 18 + -3v + -5(-8 + 2v) = 19 18 + -3v + (-8 * -5 + 2v * -5) = 19 18 + -3v + (40 + -10v) = 19 Reorder the terms: 18 + 40 + -3v + -10v = 19 Combine like terms: 18 + 40 = 58 58 + -3v + -10v = 19 Combine like terms: -3v + -10v = -13v 58 + -13v = 19 Solving 58 + -13v = 19 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -13v = 19 + -58 Combine like terms: 58 + -58 = 0 0 + -13v = 19 + -58 -13v = 19 + -58 Combine like terms: 19 + -58 = -39 -13v = -39 Divide each side by '-13'. v = 3 Simplifying v = 3
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