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Simplifying -0.5(4v + -3) + 6v = -5v + 0.2(-5v + 8) Reorder the terms: -0.5(-3 + 4v) + 6v = -5v + 0.2(-5v + 8) (-3 * -0.5 + 4v * -0.5) + 6v = -5v + 0.2(-5v + 8) (1.5 + -2v) + 6v = -5v + 0.2(-5v + 8) Combine like terms: -2v + 6v = 4v 1.5 + 4v = -5v + 0.2(-5v + 8) Reorder the terms: 1.5 + 4v = -5v + 0.2(8 + -5v) 1.5 + 4v = -5v + (8 * 0.2 + -5v * 0.2) 1.5 + 4v = -5v + (1.6 + -1v) Reorder the terms: 1.5 + 4v = 1.6 + -5v + -1v Combine like terms: -5v + -1v = -6v 1.5 + 4v = 1.6 + -6v Solving 1.5 + 4v = 1.6 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 1.5 + 4v + 6v = 1.6 + -6v + 6v Combine like terms: 4v + 6v = 10v 1.5 + 10v = 1.6 + -6v + 6v Combine like terms: -6v + 6v = 0 1.5 + 10v = 1.6 + 0 1.5 + 10v = 1.6 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 10v = 1.6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 10v = 1.6 + -1.5 10v = 1.6 + -1.5 Combine like terms: 1.6 + -1.5 = 0.1 10v = 0.1 Divide each side by '10'. v = 0.01 Simplifying v = 0.01
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