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Simplifying 9a + -1(4 + a) = 7(a + 5) 9a + (4 * -1 + a * -1) = 7(a + 5) 9a + (-4 + -1a) = 7(a + 5) Reorder the terms: -4 + 9a + -1a = 7(a + 5) Combine like terms: 9a + -1a = 8a -4 + 8a = 7(a + 5) Reorder the terms: -4 + 8a = 7(5 + a) -4 + 8a = (5 * 7 + a * 7) -4 + 8a = (35 + 7a) Solving -4 + 8a = 35 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -4 + 8a + -7a = 35 + 7a + -7a Combine like terms: 8a + -7a = 1a -4 + 1a = 35 + 7a + -7a Combine like terms: 7a + -7a = 0 -4 + 1a = 35 + 0 -4 + 1a = 35 Add '4' to each side of the equation. -4 + 4 + 1a = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 1a = 35 + 4 1a = 35 + 4 Combine like terms: 35 + 4 = 39 1a = 39 Divide each side by '1'. a = 39 Simplifying a = 39
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