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Simplifying -6(a + -3) = -3(a + 8) Reorder the terms: -6(-3 + a) = -3(a + 8) (-3 * -6 + a * -6) = -3(a + 8) (18 + -6a) = -3(a + 8) Reorder the terms: 18 + -6a = -3(8 + a) 18 + -6a = (8 * -3 + a * -3) 18 + -6a = (-24 + -3a) Solving 18 + -6a = -24 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 18 + -6a + 3a = -24 + -3a + 3a Combine like terms: -6a + 3a = -3a 18 + -3a = -24 + -3a + 3a Combine like terms: -3a + 3a = 0 18 + -3a = -24 + 0 18 + -3a = -24 Add '-18' to each side of the equation. 18 + -18 + -3a = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -3a = -24 + -18 -3a = -24 + -18 Combine like terms: -24 + -18 = -42 -3a = -42 Divide each side by '-3'. a = 14 Simplifying a = 14
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