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Simplifying 6(5 + -3a) = 49 + -12 (5 * 6 + -3a * 6) = 49 + -12 (30 + -18a) = 49 + -12 Combine like terms: 49 + -12 = 37 30 + -18a = 37 Solving 30 + -18a = 37 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -18a = 37 + -30 Combine like terms: 30 + -30 = 0 0 + -18a = 37 + -30 -18a = 37 + -30 Combine like terms: 37 + -30 = 7 -18a = 7 Divide each side by '-18'. a = -0.3888888889 Simplifying a = -0.3888888889
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