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Simplifying 0.07(2v + -4) = 0.1(v + -4) Reorder the terms: 0.07(-4 + 2v) = 0.1(v + -4) (-4 * 0.07 + 2v * 0.07) = 0.1(v + -4) (-0.28 + 0.14v) = 0.1(v + -4) Reorder the terms: -0.28 + 0.14v = 0.1(-4 + v) -0.28 + 0.14v = (-4 * 0.1 + v * 0.1) -0.28 + 0.14v = (-0.4 + 0.1v) Solving -0.28 + 0.14v = -0.4 + 0.1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.1v' to each side of the equation. -0.28 + 0.14v + -0.1v = -0.4 + 0.1v + -0.1v Combine like terms: 0.14v + -0.1v = 0.04v -0.28 + 0.04v = -0.4 + 0.1v + -0.1v Combine like terms: 0.1v + -0.1v = 0.0 -0.28 + 0.04v = -0.4 + 0.0 -0.28 + 0.04v = -0.4 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.04v = -0.4 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.04v = -0.4 + 0.28 0.04v = -0.4 + 0.28 Combine like terms: -0.4 + 0.28 = -0.12 0.04v = -0.12 Divide each side by '0.04'. v = -3 Simplifying v = -3
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