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Simplifying 4(a + 7) = 9[a + -1(a + -5)] Reorder the terms: 4(7 + a) = 9[a + -1(a + -5)] (7 * 4 + a * 4) = 9[a + -1(a + -5)] (28 + 4a) = 9[a + -1(a + -5)] Reorder the terms: 28 + 4a = 9[a + -1(-5 + a)] 28 + 4a = 9[a + (-5 * -1 + a * -1)] 28 + 4a = 9[a + (5 + -1a)] Reorder the terms: 28 + 4a = 9[5 + a + -1a] Combine like terms: a + -1a = 0 28 + 4a = 9[5 + 0] 28 + 4a = 9[5] Multiply 9 * 5 28 + 4a = 45 Solving 28 + 4a = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 4a = 45 + -28 Combine like terms: 28 + -28 = 0 0 + 4a = 45 + -28 4a = 45 + -28 Combine like terms: 45 + -28 = 17 4a = 17 Divide each side by '4'. a = 4.25 Simplifying a = 4.25
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