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Simplifying (a + 4) = 6a + -6(8 + -1a) Reorder the terms: (4 + a) = 6a + -6(8 + -1a) Remove parenthesis around (4 + a) 4 + a = 6a + -6(8 + -1a) 4 + a = 6a + (8 * -6 + -1a * -6) 4 + a = 6a + (-48 + 6a) Reorder the terms: 4 + a = -48 + 6a + 6a Combine like terms: 6a + 6a = 12a 4 + a = -48 + 12a Solving 4 + a = -48 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 4 + a + -12a = -48 + 12a + -12a Combine like terms: a + -12a = -11a 4 + -11a = -48 + 12a + -12a Combine like terms: 12a + -12a = 0 4 + -11a = -48 + 0 4 + -11a = -48 Add '-4' to each side of the equation. 4 + -4 + -11a = -48 + -4 Combine like terms: 4 + -4 = 0 0 + -11a = -48 + -4 -11a = -48 + -4 Combine like terms: -48 + -4 = -52 -11a = -52 Divide each side by '-11'. a = 4.727272727 Simplifying a = 4.727272727
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