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Simplifying -6(-5a + -4) + -3(a + -6) = 42 Reorder the terms: -6(-4 + -5a) + -3(a + -6) = 42 (-4 * -6 + -5a * -6) + -3(a + -6) = 42 (24 + 30a) + -3(a + -6) = 42 Reorder the terms: 24 + 30a + -3(-6 + a) = 42 24 + 30a + (-6 * -3 + a * -3) = 42 24 + 30a + (18 + -3a) = 42 Reorder the terms: 24 + 18 + 30a + -3a = 42 Combine like terms: 24 + 18 = 42 42 + 30a + -3a = 42 Combine like terms: 30a + -3a = 27a 42 + 27a = 42 Add '-42' to each side of the equation. 42 + -42 + 27a = 42 + -42 Combine like terms: 42 + -42 = 0 0 + 27a = 42 + -42 27a = 42 + -42 Combine like terms: 42 + -42 = 0 27a = 0 Solving 27a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '27'. a = 0 Simplifying a = 0
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