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Simplifying 5a + -1(8 + -1a) = 42 + -10 5a + (8 * -1 + -1a * -1) = 42 + -10 5a + (-8 + 1a) = 42 + -10 Reorder the terms: -8 + 5a + 1a = 42 + -10 Combine like terms: 5a + 1a = 6a -8 + 6a = 42 + -10 Combine like terms: 42 + -10 = 32 -8 + 6a = 32 Solving -8 + 6a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6a = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 6a = 32 + 8 6a = 32 + 8 Combine like terms: 32 + 8 = 40 6a = 40 Divide each side by '6'. a = 6.666666667 Simplifying a = 6.666666667
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