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Simplifying 6(a + -8) + 12 = (a + -6) Reorder the terms: 6(-8 + a) + 12 = (a + -6) (-8 * 6 + a * 6) + 12 = (a + -6) (-48 + 6a) + 12 = (a + -6) Reorder the terms: -48 + 12 + 6a = (a + -6) Combine like terms: -48 + 12 = -36 -36 + 6a = (a + -6) Reorder the terms: -36 + 6a = (-6 + a) Remove parenthesis around (-6 + a) -36 + 6a = -6 + a Solving -36 + 6a = -6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -36 + 6a + -1a = -6 + a + -1a Combine like terms: 6a + -1a = 5a -36 + 5a = -6 + a + -1a Combine like terms: a + -1a = 0 -36 + 5a = -6 + 0 -36 + 5a = -6 Add '36' to each side of the equation. -36 + 36 + 5a = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 5a = -6 + 36 5a = -6 + 36 Combine like terms: -6 + 36 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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