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Simplifying 5(6a + -6) = 36 + 7a Reorder the terms: 5(-6 + 6a) = 36 + 7a (-6 * 5 + 6a * 5) = 36 + 7a (-30 + 30a) = 36 + 7a Solving -30 + 30a = 36 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -30 + 30a + -7a = 36 + 7a + -7a Combine like terms: 30a + -7a = 23a -30 + 23a = 36 + 7a + -7a Combine like terms: 7a + -7a = 0 -30 + 23a = 36 + 0 -30 + 23a = 36 Add '30' to each side of the equation. -30 + 30 + 23a = 36 + 30 Combine like terms: -30 + 30 = 0 0 + 23a = 36 + 30 23a = 36 + 30 Combine like terms: 36 + 30 = 66 23a = 66 Divide each side by '23'. a = 2.869565217 Simplifying a = 2.869565217
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