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Simplifying 9(a + -1) = 3(13 + 4a) Reorder the terms: 9(-1 + a) = 3(13 + 4a) (-1 * 9 + a * 9) = 3(13 + 4a) (-9 + 9a) = 3(13 + 4a) -9 + 9a = (13 * 3 + 4a * 3) -9 + 9a = (39 + 12a) Solving -9 + 9a = 39 + 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. -9 + 9a + -12a = 39 + 12a + -12a Combine like terms: 9a + -12a = -3a -9 + -3a = 39 + 12a + -12a Combine like terms: 12a + -12a = 0 -9 + -3a = 39 + 0 -9 + -3a = 39 Add '9' to each side of the equation. -9 + 9 + -3a = 39 + 9 Combine like terms: -9 + 9 = 0 0 + -3a = 39 + 9 -3a = 39 + 9 Combine like terms: 39 + 9 = 48 -3a = 48 Divide each side by '-3'. a = -16 Simplifying a = -16
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