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Simplifying 4(a + 6) = 3(5a + -3) Reorder the terms: 4(6 + a) = 3(5a + -3) (6 * 4 + a * 4) = 3(5a + -3) (24 + 4a) = 3(5a + -3) Reorder the terms: 24 + 4a = 3(-3 + 5a) 24 + 4a = (-3 * 3 + 5a * 3) 24 + 4a = (-9 + 15a) Solving 24 + 4a = -9 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 24 + 4a + -15a = -9 + 15a + -15a Combine like terms: 4a + -15a = -11a 24 + -11a = -9 + 15a + -15a Combine like terms: 15a + -15a = 0 24 + -11a = -9 + 0 24 + -11a = -9 Add '-24' to each side of the equation. 24 + -24 + -11a = -9 + -24 Combine like terms: 24 + -24 = 0 0 + -11a = -9 + -24 -11a = -9 + -24 Combine like terms: -9 + -24 = -33 -11a = -33 Divide each side by '-11'. a = 3 Simplifying a = 3
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