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Simplifying 4(a + 9) = 7[a + -1(3 + -1a)] Reorder the terms: 4(9 + a) = 7[a + -1(3 + -1a)] (9 * 4 + a * 4) = 7[a + -1(3 + -1a)] (36 + 4a) = 7[a + -1(3 + -1a)] 36 + 4a = 7[a + (3 * -1 + -1a * -1)] 36 + 4a = 7[a + (-3 + 1a)] Reorder the terms: 36 + 4a = 7[-3 + a + 1a] Combine like terms: a + 1a = 2a 36 + 4a = 7[-3 + 2a] 36 + 4a = [-3 * 7 + 2a * 7] 36 + 4a = [-21 + 14a] Solving 36 + 4a = -21 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 36 + 4a + -14a = -21 + 14a + -14a Combine like terms: 4a + -14a = -10a 36 + -10a = -21 + 14a + -14a Combine like terms: 14a + -14a = 0 36 + -10a = -21 + 0 36 + -10a = -21 Add '-36' to each side of the equation. 36 + -36 + -10a = -21 + -36 Combine like terms: 36 + -36 = 0 0 + -10a = -21 + -36 -10a = -21 + -36 Combine like terms: -21 + -36 = -57 -10a = -57 Divide each side by '-10'. a = 5.7 Simplifying a = 5.7
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