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Simplifying -6(a + 6) = -3(5a + -6) Reorder the terms: -6(6 + a) = -3(5a + -6) (6 * -6 + a * -6) = -3(5a + -6) (-36 + -6a) = -3(5a + -6) Reorder the terms: -36 + -6a = -3(-6 + 5a) -36 + -6a = (-6 * -3 + 5a * -3) -36 + -6a = (18 + -15a) Solving -36 + -6a = 18 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. -36 + -6a + 15a = 18 + -15a + 15a Combine like terms: -6a + 15a = 9a -36 + 9a = 18 + -15a + 15a Combine like terms: -15a + 15a = 0 -36 + 9a = 18 + 0 -36 + 9a = 18 Add '36' to each side of the equation. -36 + 36 + 9a = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 9a = 18 + 36 9a = 18 + 36 Combine like terms: 18 + 36 = 54 9a = 54 Divide each side by '9'. a = 6 Simplifying a = 6
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