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Simplifying 2(5v + 5) = 5[-2v + -4(v + 6)] Reorder the terms: 2(5 + 5v) = 5[-2v + -4(v + 6)] (5 * 2 + 5v * 2) = 5[-2v + -4(v + 6)] (10 + 10v) = 5[-2v + -4(v + 6)] Reorder the terms: 10 + 10v = 5[-2v + -4(6 + v)] 10 + 10v = 5[-2v + (6 * -4 + v * -4)] 10 + 10v = 5[-2v + (-24 + -4v)] Reorder the terms: 10 + 10v = 5[-24 + -2v + -4v] Combine like terms: -2v + -4v = -6v 10 + 10v = 5[-24 + -6v] 10 + 10v = [-24 * 5 + -6v * 5] 10 + 10v = [-120 + -30v] Solving 10 + 10v = -120 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. 10 + 10v + 30v = -120 + -30v + 30v Combine like terms: 10v + 30v = 40v 10 + 40v = -120 + -30v + 30v Combine like terms: -30v + 30v = 0 10 + 40v = -120 + 0 10 + 40v = -120 Add '-10' to each side of the equation. 10 + -10 + 40v = -120 + -10 Combine like terms: 10 + -10 = 0 0 + 40v = -120 + -10 40v = -120 + -10 Combine like terms: -120 + -10 = -130 40v = -130 Divide each side by '40'. v = -3.25 Simplifying v = -3.25
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