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Simplifying 3(2a + -6) + 4(2 + -5a) = 18 Reorder the terms: 3(-6 + 2a) + 4(2 + -5a) = 18 (-6 * 3 + 2a * 3) + 4(2 + -5a) = 18 (-18 + 6a) + 4(2 + -5a) = 18 -18 + 6a + (2 * 4 + -5a * 4) = 18 -18 + 6a + (8 + -20a) = 18 Reorder the terms: -18 + 8 + 6a + -20a = 18 Combine like terms: -18 + 8 = -10 -10 + 6a + -20a = 18 Combine like terms: 6a + -20a = -14a -10 + -14a = 18 Solving -10 + -14a = 18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -14a = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -14a = 18 + 10 -14a = 18 + 10 Combine like terms: 18 + 10 = 28 -14a = 28 Divide each side by '-14'. a = -2 Simplifying a = -2
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