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Simplifying 0.2(a + 12) = 35 Reorder the terms: 0.2(12 + a) = 35 (12 * 0.2 + a * 0.2) = 35 (2.4 + 0.2a) = 35 Solving 2.4 + 0.2a = 35 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.2a = 35 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.2a = 35 + -2.4 0.2a = 35 + -2.4 Combine like terms: 35 + -2.4 = 32.6 0.2a = 32.6 Divide each side by '0.2'. a = 163 Simplifying a = 163
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