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Simplifying 3.4 = 0.4(a + 12) Reorder the terms: 3.4 = 0.4(12 + a) 3.4 = (12 * 0.4 + a * 0.4) 3.4 = (4.8 + 0.4a) Solving 3.4 = 4.8 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. 3.4 + -0.4a = 4.8 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 3.4 + -0.4a = 4.8 + 0.0 3.4 + -0.4a = 4.8 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -0.4a = 4.8 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -0.4a = 4.8 + -3.4 -0.4a = 4.8 + -3.4 Combine like terms: 4.8 + -3.4 = 1.4 -0.4a = 1.4 Divide each side by '-0.4'. a = -3.5 Simplifying a = -3.5
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