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Simplifying 24 + -1(3a + -3) = 4(6a + 30) Reorder the terms: 24 + -1(-3 + 3a) = 4(6a + 30) 24 + (-3 * -1 + 3a * -1) = 4(6a + 30) 24 + (3 + -3a) = 4(6a + 30) Combine like terms: 24 + 3 = 27 27 + -3a = 4(6a + 30) Reorder the terms: 27 + -3a = 4(30 + 6a) 27 + -3a = (30 * 4 + 6a * 4) 27 + -3a = (120 + 24a) Solving 27 + -3a = 120 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 27 + -3a + -24a = 120 + 24a + -24a Combine like terms: -3a + -24a = -27a 27 + -27a = 120 + 24a + -24a Combine like terms: 24a + -24a = 0 27 + -27a = 120 + 0 27 + -27a = 120 Add '-27' to each side of the equation. 27 + -27 + -27a = 120 + -27 Combine like terms: 27 + -27 = 0 0 + -27a = 120 + -27 -27a = 120 + -27 Combine like terms: 120 + -27 = 93 -27a = 93 Divide each side by '-27'. a = -3.444444444 Simplifying a = -3.444444444
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