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Simplifying 5a + 4(3a + -8) = 4(y + 7) Reorder the terms: 5a + 4(-8 + 3a) = 4(y + 7) 5a + (-8 * 4 + 3a * 4) = 4(y + 7) 5a + (-32 + 12a) = 4(y + 7) Reorder the terms: -32 + 5a + 12a = 4(y + 7) Combine like terms: 5a + 12a = 17a -32 + 17a = 4(y + 7) Reorder the terms: -32 + 17a = 4(7 + y) -32 + 17a = (7 * 4 + y * 4) -32 + 17a = (28 + 4y) Solving -32 + 17a = 28 + 4y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 17a = 28 + 32 + 4y Combine like terms: -32 + 32 = 0 0 + 17a = 28 + 32 + 4y 17a = 28 + 32 + 4y Combine like terms: 28 + 32 = 60 17a = 60 + 4y Divide each side by '17'. a = 3.529411765 + 0.2352941176y Simplifying a = 3.529411765 + 0.2352941176y
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