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Simplifying 5 + -3(a + -6) = a + -1 + 8a Reorder the terms: 5 + -3(-6 + a) = a + -1 + 8a 5 + (-6 * -3 + a * -3) = a + -1 + 8a 5 + (18 + -3a) = a + -1 + 8a Combine like terms: 5 + 18 = 23 23 + -3a = a + -1 + 8a Reorder the terms: 23 + -3a = -1 + a + 8a Combine like terms: a + 8a = 9a 23 + -3a = -1 + 9a Solving 23 + -3a = -1 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 23 + -3a + -9a = -1 + 9a + -9a Combine like terms: -3a + -9a = -12a 23 + -12a = -1 + 9a + -9a Combine like terms: 9a + -9a = 0 23 + -12a = -1 + 0 23 + -12a = -1 Add '-23' to each side of the equation. 23 + -23 + -12a = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -12a = -1 + -23 -12a = -1 + -23 Combine like terms: -1 + -23 = -24 -12a = -24 Divide each side by '-12'. a = 2 Simplifying a = 2
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