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Simplifying 7(3 + a) + -4(3a + 1) = 9 + -1a (3 * 7 + a * 7) + -4(3a + 1) = 9 + -1a (21 + 7a) + -4(3a + 1) = 9 + -1a Reorder the terms: 21 + 7a + -4(1 + 3a) = 9 + -1a 21 + 7a + (1 * -4 + 3a * -4) = 9 + -1a 21 + 7a + (-4 + -12a) = 9 + -1a Reorder the terms: 21 + -4 + 7a + -12a = 9 + -1a Combine like terms: 21 + -4 = 17 17 + 7a + -12a = 9 + -1a Combine like terms: 7a + -12a = -5a 17 + -5a = 9 + -1a Solving 17 + -5a = 9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 17 + -5a + a = 9 + -1a + a Combine like terms: -5a + a = -4a 17 + -4a = 9 + -1a + a Combine like terms: -1a + a = 0 17 + -4a = 9 + 0 17 + -4a = 9 Add '-17' to each side of the equation. 17 + -17 + -4a = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -4a = 9 + -17 -4a = 9 + -17 Combine like terms: 9 + -17 = -8 -4a = -8 Divide each side by '-4'. a = 2 Simplifying a = 2
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