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Simplifying 3.4(3 + 7a) = 9.2 + 24.8a (3 * 3.4 + 7a * 3.4) = 9.2 + 24.8a (10.2 + 23.8a) = 9.2 + 24.8a Solving 10.2 + 23.8a = 9.2 + 24.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24.8a' to each side of the equation. 10.2 + 23.8a + -24.8a = 9.2 + 24.8a + -24.8a Combine like terms: 23.8a + -24.8a = -1a 10.2 + -1a = 9.2 + 24.8a + -24.8a Combine like terms: 24.8a + -24.8a = 0.0 10.2 + -1a = 9.2 + 0.0 10.2 + -1a = 9.2 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -1a = 9.2 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -1a = 9.2 + -10.2 -1a = 9.2 + -10.2 Combine like terms: 9.2 + -10.2 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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