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Simplifying -13(v + -6) = -5 + 2(5v + 12) Reorder the terms: -13(-6 + v) = -5 + 2(5v + 12) (-6 * -13 + v * -13) = -5 + 2(5v + 12) (78 + -13v) = -5 + 2(5v + 12) Reorder the terms: 78 + -13v = -5 + 2(12 + 5v) 78 + -13v = -5 + (12 * 2 + 5v * 2) 78 + -13v = -5 + (24 + 10v) Combine like terms: -5 + 24 = 19 78 + -13v = 19 + 10v Solving 78 + -13v = 19 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 78 + -13v + -10v = 19 + 10v + -10v Combine like terms: -13v + -10v = -23v 78 + -23v = 19 + 10v + -10v Combine like terms: 10v + -10v = 0 78 + -23v = 19 + 0 78 + -23v = 19 Add '-78' to each side of the equation. 78 + -78 + -23v = 19 + -78 Combine like terms: 78 + -78 = 0 0 + -23v = 19 + -78 -23v = 19 + -78 Combine like terms: 19 + -78 = -59 -23v = -59 Divide each side by '-23'. v = 2.565217391 Simplifying v = 2.565217391
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