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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 = 15 15 + -6a + -12a = 15 Combine like terms: -6a + -12a = -18a 15 + -18a = 15 Add '-15' to each side of the equation. 15 + -15 + -18a = 15 + -15 Combine like terms: 15 + -15 = 0 0 + -18a = 15 + -15 -18a = 15 + -15 Combine like terms: 15 + -15 = 0 -18a = 0 Solving -18a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-18'. a = 0 Simplifying a = 0
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