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Simplifying 3(2a + -6) + -1(-3a + -1) = 4a + -2 Reorder the terms: 3(-6 + 2a) + -1(-3a + -1) = 4a + -2 (-6 * 3 + 2a * 3) + -1(-3a + -1) = 4a + -2 (-18 + 6a) + -1(-3a + -1) = 4a + -2 Reorder the terms: -18 + 6a + -1(-1 + -3a) = 4a + -2 -18 + 6a + (-1 * -1 + -3a * -1) = 4a + -2 -18 + 6a + (1 + 3a) = 4a + -2 Reorder the terms: -18 + 1 + 6a + 3a = 4a + -2 Combine like terms: -18 + 1 = -17 -17 + 6a + 3a = 4a + -2 Combine like terms: 6a + 3a = 9a -17 + 9a = 4a + -2 Reorder the terms: -17 + 9a = -2 + 4a Solving -17 + 9a = -2 + 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. -17 + 9a + -4a = -2 + 4a + -4a Combine like terms: 9a + -4a = 5a -17 + 5a = -2 + 4a + -4a Combine like terms: 4a + -4a = 0 -17 + 5a = -2 + 0 -17 + 5a = -2 Add '17' to each side of the equation. -17 + 17 + 5a = -2 + 17 Combine like terms: -17 + 17 = 0 0 + 5a = -2 + 17 5a = -2 + 17 Combine like terms: -2 + 17 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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