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Simplifying 4(2.25a + 0.75) = 12(2a + 3) Reorder the terms: 4(0.75 + 2.25a) = 12(2a + 3) (0.75 * 4 + 2.25a * 4) = 12(2a + 3) (3 + 9a) = 12(2a + 3) Reorder the terms: 3 + 9a = 12(3 + 2a) 3 + 9a = (3 * 12 + 2a * 12) 3 + 9a = (36 + 24a) Solving 3 + 9a = 36 + 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. 3 + 9a + -24a = 36 + 24a + -24a Combine like terms: 9a + -24a = -15a 3 + -15a = 36 + 24a + -24a Combine like terms: 24a + -24a = 0 3 + -15a = 36 + 0 3 + -15a = 36 Add '-3' to each side of the equation. 3 + -3 + -15a = 36 + -3 Combine like terms: 3 + -3 = 0 0 + -15a = 36 + -3 -15a = 36 + -3 Combine like terms: 36 + -3 = 33 -15a = 33 Divide each side by '-15'. a = -2.2 Simplifying a = -2.2
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