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Simplifying (6a + -30) + -1(5a + 10) = 20 Reorder the terms: (-30 + 6a) + -1(5a + 10) = 20 Remove parenthesis around (-30 + 6a) -30 + 6a + -1(5a + 10) = 20 Reorder the terms: -30 + 6a + -1(10 + 5a) = 20 -30 + 6a + (10 * -1 + 5a * -1) = 20 -30 + 6a + (-10 + -5a) = 20 Reorder the terms: -30 + -10 + 6a + -5a = 20 Combine like terms: -30 + -10 = -40 -40 + 6a + -5a = 20 Combine like terms: 6a + -5a = 1a -40 + 1a = 20 Solving -40 + 1a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 1a = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 1a = 20 + 40 1a = 20 + 40 Combine like terms: 20 + 40 = 60 1a = 60 Divide each side by '1'. a = 60 Simplifying a = 60
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