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Simplifying -6(8 + -3a) + 6 = -4(a + -6) (8 * -6 + -3a * -6) + 6 = -4(a + -6) (-48 + 18a) + 6 = -4(a + -6) Reorder the terms: -48 + 6 + 18a = -4(a + -6) Combine like terms: -48 + 6 = -42 -42 + 18a = -4(a + -6) Reorder the terms: -42 + 18a = -4(-6 + a) -42 + 18a = (-6 * -4 + a * -4) -42 + 18a = (24 + -4a) Solving -42 + 18a = 24 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -42 + 18a + 4a = 24 + -4a + 4a Combine like terms: 18a + 4a = 22a -42 + 22a = 24 + -4a + 4a Combine like terms: -4a + 4a = 0 -42 + 22a = 24 + 0 -42 + 22a = 24 Add '42' to each side of the equation. -42 + 42 + 22a = 24 + 42 Combine like terms: -42 + 42 = 0 0 + 22a = 24 + 42 22a = 24 + 42 Combine like terms: 24 + 42 = 66 22a = 66 Divide each side by '22'. a = 3 Simplifying a = 3
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