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Simplifying 8 = -1(1 + -10a) + 6a 8 = (1 * -1 + -10a * -1) + 6a 8 = (-1 + 10a) + 6a Combine like terms: 10a + 6a = 16a 8 = -1 + 16a Solving 8 = -1 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 8 + -16a = -1 + 16a + -16a Combine like terms: 16a + -16a = 0 8 + -16a = -1 + 0 8 + -16a = -1 Add '-8' to each side of the equation. 8 + -8 + -16a = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -16a = -1 + -8 -16a = -1 + -8 Combine like terms: -1 + -8 = -9 -16a = -9 Divide each side by '-16'. a = 0.5625 Simplifying a = 0.5625
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