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Simplifying 0.03(2a + -4) = 0.2(a + -2) Reorder the terms: 0.03(-4 + 2a) = 0.2(a + -2) (-4 * 0.03 + 2a * 0.03) = 0.2(a + -2) (-0.12 + 0.06a) = 0.2(a + -2) Reorder the terms: -0.12 + 0.06a = 0.2(-2 + a) -0.12 + 0.06a = (-2 * 0.2 + a * 0.2) -0.12 + 0.06a = (-0.4 + 0.2a) Solving -0.12 + 0.06a = -0.4 + 0.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2a' to each side of the equation. -0.12 + 0.06a + -0.2a = -0.4 + 0.2a + -0.2a Combine like terms: 0.06a + -0.2a = -0.14a -0.12 + -0.14a = -0.4 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 -0.12 + -0.14a = -0.4 + 0.0 -0.12 + -0.14a = -0.4 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.14a = -0.4 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.14a = -0.4 + 0.12 -0.14a = -0.4 + 0.12 Combine like terms: -0.4 + 0.12 = -0.28 -0.14a = -0.28 Divide each side by '-0.14'. a = 2 Simplifying a = 2
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