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Simplifying 6(a + 1) = 10.2 Reorder the terms: 6(1 + a) = 10.2 (1 * 6 + a * 6) = 10.2 (6 + 6a) = 10.2 Solving 6 + 6a = 10.2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6a = 10.2 + -6 Combine like terms: 6 + -6 = 0 0 + 6a = 10.2 + -6 6a = 10.2 + -6 Combine like terms: 10.2 + -6 = 4.2 6a = 4.2 Divide each side by '6'. a = 0.7 Simplifying a = 0.7
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