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Simplifying -6(1 + -5a) = -6a + 30 (1 * -6 + -5a * -6) = -6a + 30 (-6 + 30a) = -6a + 30 Reorder the terms: -6 + 30a = 30 + -6a Solving -6 + 30a = 30 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -6 + 30a + 6a = 30 + -6a + 6a Combine like terms: 30a + 6a = 36a -6 + 36a = 30 + -6a + 6a Combine like terms: -6a + 6a = 0 -6 + 36a = 30 + 0 -6 + 36a = 30 Add '6' to each side of the equation. -6 + 6 + 36a = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 36a = 30 + 6 36a = 30 + 6 Combine like terms: 30 + 6 = 36 36a = 36 Divide each side by '36'. a = 1 Simplifying a = 1
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