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Simplifying -2(3a + -6) + -4(-2a + 15) = -18 Reorder the terms: -2(-6 + 3a) + -4(-2a + 15) = -18 (-6 * -2 + 3a * -2) + -4(-2a + 15) = -18 (12 + -6a) + -4(-2a + 15) = -18 Reorder the terms: 12 + -6a + -4(15 + -2a) = -18 12 + -6a + (15 * -4 + -2a * -4) = -18 12 + -6a + (-60 + 8a) = -18 Reorder the terms: 12 + -60 + -6a + 8a = -18 Combine like terms: 12 + -60 = -48 -48 + -6a + 8a = -18 Combine like terms: -6a + 8a = 2a -48 + 2a = -18 Solving -48 + 2a = -18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 2a = -18 + 48 Combine like terms: -48 + 48 = 0 0 + 2a = -18 + 48 2a = -18 + 48 Combine like terms: -18 + 48 = 30 2a = 30 Divide each side by '2'. a = 15 Simplifying a = 15
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