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Simplifying -6(8 + 6a) + 12a = -1(10a + 6) (8 * -6 + 6a * -6) + 12a = -1(10a + 6) (-48 + -36a) + 12a = -1(10a + 6) Combine like terms: -36a + 12a = -24a -48 + -24a = -1(10a + 6) Reorder the terms: -48 + -24a = -1(6 + 10a) -48 + -24a = (6 * -1 + 10a * -1) -48 + -24a = (-6 + -10a) Solving -48 + -24a = -6 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -48 + -24a + 10a = -6 + -10a + 10a Combine like terms: -24a + 10a = -14a -48 + -14a = -6 + -10a + 10a Combine like terms: -10a + 10a = 0 -48 + -14a = -6 + 0 -48 + -14a = -6 Add '48' to each side of the equation. -48 + 48 + -14a = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -14a = -6 + 48 -14a = -6 + 48 Combine like terms: -6 + 48 = 42 -14a = 42 Divide each side by '-14'. a = -3 Simplifying a = -3
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