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Simplifying 9 = a + -4(7a + 1) Reorder the terms: 9 = a + -4(1 + 7a) 9 = a + (1 * -4 + 7a * -4) 9 = a + (-4 + -28a) Reorder the terms: 9 = -4 + a + -28a Combine like terms: a + -28a = -27a 9 = -4 + -27a Solving 9 = -4 + -27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27a' to each side of the equation. 9 + 27a = -4 + -27a + 27a Combine like terms: -27a + 27a = 0 9 + 27a = -4 + 0 9 + 27a = -4 Add '-9' to each side of the equation. 9 + -9 + 27a = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 27a = -4 + -9 27a = -4 + -9 Combine like terms: -4 + -9 = -13 27a = -13 Divide each side by '27'. a = -0.4814814815 Simplifying a = -0.4814814815
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