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Simplifying 6(4 + a) + 4(a + -18) = 12(2a + 3) (4 * 6 + a * 6) + 4(a + -18) = 12(2a + 3) (24 + 6a) + 4(a + -18) = 12(2a + 3) Reorder the terms: 24 + 6a + 4(-18 + a) = 12(2a + 3) 24 + 6a + (-18 * 4 + a * 4) = 12(2a + 3) 24 + 6a + (-72 + 4a) = 12(2a + 3) Reorder the terms: 24 + -72 + 6a + 4a = 12(2a + 3) Combine like terms: 24 + -72 = -48 -48 + 6a + 4a = 12(2a + 3) Combine like terms: 6a + 4a = 10a -48 + 10a = 12(2a + 3) Reorder the terms: -48 + 10a = 12(3 + 2a) -48 + 10a = (3 * 12 + 2a * 12) -48 + 10a = (36 + 24a) Solving -48 + 10a = 36 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -48 + 10a + -24a = 36 + 24a + -24a Combine like terms: 10a + -24a = -14a -48 + -14a = 36 + 24a + -24a Combine like terms: 24a + -24a = 0 -48 + -14a = 36 + 0 -48 + -14a = 36 Add '48' to each side of the equation. -48 + 48 + -14a = 36 + 48 Combine like terms: -48 + 48 = 0 0 + -14a = 36 + 48 -14a = 36 + 48 Combine like terms: 36 + 48 = 84 -14a = 84 Divide each side by '-14'. a = -6 Simplifying a = -6
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