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Simplifying 3(2a + 3) + -4(3a + -6) = 15 Reorder the terms: 3(3 + 2a) + -4(3a + -6) = 15 (3 * 3 + 2a * 3) + -4(3a + -6) = 15 (9 + 6a) + -4(3a + -6) = 15 Reorder the terms: 9 + 6a + -4(-6 + 3a) = 15 9 + 6a + (-6 * -4 + 3a * -4) = 15 9 + 6a + (24 + -12a) = 15 Reorder the terms: 9 + 24 + 6a + -12a = 15 Combine like terms: 9 + 24 = 33 33 + 6a + -12a = 15 Combine like terms: 6a + -12a = -6a 33 + -6a = 15 Solving 33 + -6a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -6a = 15 + -33 Combine like terms: 33 + -33 = 0 0 + -6a = 15 + -33 -6a = 15 + -33 Combine like terms: 15 + -33 = -18 -6a = -18 Divide each side by '-6'. a = 3 Simplifying a = 3
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