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Simplifying 4(7 + 2a) + -8(1 + 6a) = -20 (7 * 4 + 2a * 4) + -8(1 + 6a) = -20 (28 + 8a) + -8(1 + 6a) = -20 28 + 8a + (1 * -8 + 6a * -8) = -20 28 + 8a + (-8 + -48a) = -20 Reorder the terms: 28 + -8 + 8a + -48a = -20 Combine like terms: 28 + -8 = 20 20 + 8a + -48a = -20 Combine like terms: 8a + -48a = -40a 20 + -40a = -20 Solving 20 + -40a = -20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -40a = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -40a = -20 + -20 -40a = -20 + -20 Combine like terms: -20 + -20 = -40 -40a = -40 Divide each side by '-40'. a = 1 Simplifying a = 1
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