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Simplifying 0.6(v + 0.6) = 0.8(v + -4.8) Reorder the terms: 0.6(0.6 + v) = 0.8(v + -4.8) (0.6 * 0.6 + v * 0.6) = 0.8(v + -4.8) (0.36 + 0.6v) = 0.8(v + -4.8) Reorder the terms: 0.36 + 0.6v = 0.8(-4.8 + v) 0.36 + 0.6v = (-4.8 * 0.8 + v * 0.8) 0.36 + 0.6v = (-3.84 + 0.8v) Solving 0.36 + 0.6v = -3.84 + 0.8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.8v' to each side of the equation. 0.36 + 0.6v + -0.8v = -3.84 + 0.8v + -0.8v Combine like terms: 0.6v + -0.8v = -0.2v 0.36 + -0.2v = -3.84 + 0.8v + -0.8v Combine like terms: 0.8v + -0.8v = 0.0 0.36 + -0.2v = -3.84 + 0.0 0.36 + -0.2v = -3.84 Add '-0.36' to each side of the equation. 0.36 + -0.36 + -0.2v = -3.84 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.2v = -3.84 + -0.36 -0.2v = -3.84 + -0.36 Combine like terms: -3.84 + -0.36 = -4.2 -0.2v = -4.2 Divide each side by '-0.2'. v = 21 Simplifying v = 21
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