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Simplifying -3(a + -6) = -24 + -2a Reorder the terms: -3(-6 + a) = -24 + -2a (-6 * -3 + a * -3) = -24 + -2a (18 + -3a) = -24 + -2a Solving 18 + -3a = -24 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 18 + -3a + 2a = -24 + -2a + 2a Combine like terms: -3a + 2a = -1a 18 + -1a = -24 + -2a + 2a Combine like terms: -2a + 2a = 0 18 + -1a = -24 + 0 18 + -1a = -24 Add '-18' to each side of the equation. 18 + -18 + -1a = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = -24 + -18 -1a = -24 + -18 Combine like terms: -24 + -18 = -42 -1a = -42 Divide each side by '-1'. a = 42 Simplifying a = 42
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