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Simplifying 8(6a + -4) + -4(7a + 2) = 20 Reorder the terms: 8(-4 + 6a) + -4(7a + 2) = 20 (-4 * 8 + 6a * 8) + -4(7a + 2) = 20 (-32 + 48a) + -4(7a + 2) = 20 Reorder the terms: -32 + 48a + -4(2 + 7a) = 20 -32 + 48a + (2 * -4 + 7a * -4) = 20 -32 + 48a + (-8 + -28a) = 20 Reorder the terms: -32 + -8 + 48a + -28a = 20 Combine like terms: -32 + -8 = -40 -40 + 48a + -28a = 20 Combine like terms: 48a + -28a = 20a -40 + 20a = 20 Solving -40 + 20a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 20a = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 20a = 20 + 40 20a = 20 + 40 Combine like terms: 20 + 40 = 60 20a = 60 Divide each side by '20'. a = 3 Simplifying a = 3
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