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Simplifying 3(6a + -6) + -13(1a + 2) = 17a + -20 + 1 + -13a Reorder the terms: 3(-6 + 6a) + -13(1a + 2) = 17a + -20 + 1 + -13a (-6 * 3 + 6a * 3) + -13(1a + 2) = 17a + -20 + 1 + -13a (-18 + 18a) + -13(1a + 2) = 17a + -20 + 1 + -13a Reorder the terms: -18 + 18a + -13(2 + 1a) = 17a + -20 + 1 + -13a -18 + 18a + (2 * -13 + 1a * -13) = 17a + -20 + 1 + -13a -18 + 18a + (-26 + -13a) = 17a + -20 + 1 + -13a Reorder the terms: -18 + -26 + 18a + -13a = 17a + -20 + 1 + -13a Combine like terms: -18 + -26 = -44 -44 + 18a + -13a = 17a + -20 + 1 + -13a Combine like terms: 18a + -13a = 5a -44 + 5a = 17a + -20 + 1 + -13a Reorder the terms: -44 + 5a = -20 + 1 + 17a + -13a Combine like terms: -20 + 1 = -19 -44 + 5a = -19 + 17a + -13a Combine like terms: 17a + -13a = 4a -44 + 5a = -19 + 4a Solving -44 + 5a = -19 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -44 + 5a + -4a = -19 + 4a + -4a Combine like terms: 5a + -4a = 1a -44 + 1a = -19 + 4a + -4a Combine like terms: 4a + -4a = 0 -44 + 1a = -19 + 0 -44 + 1a = -19 Add '44' to each side of the equation. -44 + 44 + 1a = -19 + 44 Combine like terms: -44 + 44 = 0 0 + 1a = -19 + 44 1a = -19 + 44 Combine like terms: -19 + 44 = 25 1a = 25 Divide each side by '1'. a = 25 Simplifying a = 25
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