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Simplifying 5a + 4(9 + -3a) = 64 5a + (9 * 4 + -3a * 4) = 64 5a + (36 + -12a) = 64 Reorder the terms: 36 + 5a + -12a = 64 Combine like terms: 5a + -12a = -7a 36 + -7a = 64 Solving 36 + -7a = 64 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -7a = 64 + -36 Combine like terms: 36 + -36 = 0 0 + -7a = 64 + -36 -7a = 64 + -36 Combine like terms: 64 + -36 = 28 -7a = 28 Divide each side by '-7'. a = -4 Simplifying a = -4
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