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Simplifying -3(5a + -9) = -6(1 + a) + -6a Reorder the terms: -3(-9 + 5a) = -6(1 + a) + -6a (-9 * -3 + 5a * -3) = -6(1 + a) + -6a (27 + -15a) = -6(1 + a) + -6a 27 + -15a = (1 * -6 + a * -6) + -6a 27 + -15a = (-6 + -6a) + -6a Combine like terms: -6a + -6a = -12a 27 + -15a = -6 + -12a Solving 27 + -15a = -6 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 27 + -15a + 12a = -6 + -12a + 12a Combine like terms: -15a + 12a = -3a 27 + -3a = -6 + -12a + 12a Combine like terms: -12a + 12a = 0 27 + -3a = -6 + 0 27 + -3a = -6 Add '-27' to each side of the equation. 27 + -27 + -3a = -6 + -27 Combine like terms: 27 + -27 = 0 0 + -3a = -6 + -27 -3a = -6 + -27 Combine like terms: -6 + -27 = -33 -3a = -33 Divide each side by '-3'. a = 11 Simplifying a = 11
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