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Simplifying 6(6 + -2a) = -27a + -1.5(-4a + 6) (6 * 6 + -2a * 6) = -27a + -1.5(-4a + 6) (36 + -12a) = -27a + -1.5(-4a + 6) Reorder the terms: 36 + -12a = -27a + -1.5(6 + -4a) 36 + -12a = -27a + (6 * -1.5 + -4a * -1.5) 36 + -12a = -27a + (-9 + 6a) Reorder the terms: 36 + -12a = -9 + -27a + 6a Combine like terms: -27a + 6a = -21a 36 + -12a = -9 + -21a Solving 36 + -12a = -9 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 36 + -12a + 21a = -9 + -21a + 21a Combine like terms: -12a + 21a = 9a 36 + 9a = -9 + -21a + 21a Combine like terms: -21a + 21a = 0 36 + 9a = -9 + 0 36 + 9a = -9 Add '-36' to each side of the equation. 36 + -36 + 9a = -9 + -36 Combine like terms: 36 + -36 = 0 0 + 9a = -9 + -36 9a = -9 + -36 Combine like terms: -9 + -36 = -45 9a = -45 Divide each side by '9'. a = -5 Simplifying a = -5
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