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Simplifying 4(8a + 12) = 6(2a + 3) Reorder the terms: 4(12 + 8a) = 6(2a + 3) (12 * 4 + 8a * 4) = 6(2a + 3) (48 + 32a) = 6(2a + 3) Reorder the terms: 48 + 32a = 6(3 + 2a) 48 + 32a = (3 * 6 + 2a * 6) 48 + 32a = (18 + 12a) Solving 48 + 32a = 18 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 48 + 32a + -12a = 18 + 12a + -12a Combine like terms: 32a + -12a = 20a 48 + 20a = 18 + 12a + -12a Combine like terms: 12a + -12a = 0 48 + 20a = 18 + 0 48 + 20a = 18 Add '-48' to each side of the equation. 48 + -48 + 20a = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 20a = 18 + -48 20a = 18 + -48 Combine like terms: 18 + -48 = -30 20a = -30 Divide each side by '20'. a = -1.5 Simplifying a = -1.5
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