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Simplifying 9(a + -5) = (6a + 8) + 6a Reorder the terms: 9(-5 + a) = (6a + 8) + 6a (-5 * 9 + a * 9) = (6a + 8) + 6a (-45 + 9a) = (6a + 8) + 6a Reorder the terms: -45 + 9a = (8 + 6a) + 6a Remove parenthesis around (8 + 6a) -45 + 9a = 8 + 6a + 6a Combine like terms: 6a + 6a = 12a -45 + 9a = 8 + 12a Solving -45 + 9a = 8 + 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. -45 + 9a + -12a = 8 + 12a + -12a Combine like terms: 9a + -12a = -3a -45 + -3a = 8 + 12a + -12a Combine like terms: 12a + -12a = 0 -45 + -3a = 8 + 0 -45 + -3a = 8 Add '45' to each side of the equation. -45 + 45 + -3a = 8 + 45 Combine like terms: -45 + 45 = 0 0 + -3a = 8 + 45 -3a = 8 + 45 Combine like terms: 8 + 45 = 53 -3a = 53 Divide each side by '-3'. a = -17.66666667 Simplifying a = -17.66666667
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