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Simplifying 0.04a + 0.02(a + -4) = 0.3(0.1a + -0.2) Reorder the terms: 0.04a + 0.02(-4 + a) = 0.3(0.1a + -0.2) 0.04a + (-4 * 0.02 + a * 0.02) = 0.3(0.1a + -0.2) 0.04a + (-0.08 + 0.02a) = 0.3(0.1a + -0.2) Reorder the terms: -0.08 + 0.04a + 0.02a = 0.3(0.1a + -0.2) Combine like terms: 0.04a + 0.02a = 0.06a -0.08 + 0.06a = 0.3(0.1a + -0.2) Reorder the terms: -0.08 + 0.06a = 0.3(-0.2 + 0.1a) -0.08 + 0.06a = (-0.2 * 0.3 + 0.1a * 0.3) -0.08 + 0.06a = (-0.06 + 0.03a) Solving -0.08 + 0.06a = -0.06 + 0.03a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.03a' to each side of the equation. -0.08 + 0.06a + -0.03a = -0.06 + 0.03a + -0.03a Combine like terms: 0.06a + -0.03a = 0.03a -0.08 + 0.03a = -0.06 + 0.03a + -0.03a Combine like terms: 0.03a + -0.03a = 0.00 -0.08 + 0.03a = -0.06 + 0.00 -0.08 + 0.03a = -0.06 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.03a = -0.06 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.03a = -0.06 + 0.08 0.03a = -0.06 + 0.08 Combine like terms: -0.06 + 0.08 = 0.02 0.03a = 0.02 Divide each side by '0.03'. a = 0.6666666667 Simplifying a = 0.6666666667
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