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Simplifying 8a + -10(3 + -1a) = 42 8a + (3 * -10 + -1a * -10) = 42 8a + (-30 + 10a) = 42 Reorder the terms: -30 + 8a + 10a = 42 Combine like terms: 8a + 10a = 18a -30 + 18a = 42 Solving -30 + 18a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 18a = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 18a = 42 + 30 18a = 42 + 30 Combine like terms: 42 + 30 = 72 18a = 72 Divide each side by '18'. a = 4 Simplifying a = 4
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