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Simplifying 5(v + 2) = -2(4v + -3) + 5 Reorder the terms: 5(2 + v) = -2(4v + -3) + 5 (2 * 5 + v * 5) = -2(4v + -3) + 5 (10 + 5v) = -2(4v + -3) + 5 Reorder the terms: 10 + 5v = -2(-3 + 4v) + 5 10 + 5v = (-3 * -2 + 4v * -2) + 5 10 + 5v = (6 + -8v) + 5 Reorder the terms: 10 + 5v = 6 + 5 + -8v Combine like terms: 6 + 5 = 11 10 + 5v = 11 + -8v Solving 10 + 5v = 11 + -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. 10 + 5v + 8v = 11 + -8v + 8v Combine like terms: 5v + 8v = 13v 10 + 13v = 11 + -8v + 8v Combine like terms: -8v + 8v = 0 10 + 13v = 11 + 0 10 + 13v = 11 Add '-10' to each side of the equation. 10 + -10 + 13v = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 13v = 11 + -10 13v = 11 + -10 Combine like terms: 11 + -10 = 1 13v = 1 Divide each side by '13'. v = 0.07692307692 Simplifying v = 0.07692307692
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