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Simplifying -3(5a + -3) = -1(-3a + -9) + 49 Reorder the terms: -3(-3 + 5a) = -1(-3a + -9) + 49 (-3 * -3 + 5a * -3) = -1(-3a + -9) + 49 (9 + -15a) = -1(-3a + -9) + 49 Reorder the terms: 9 + -15a = -1(-9 + -3a) + 49 9 + -15a = (-9 * -1 + -3a * -1) + 49 9 + -15a = (9 + 3a) + 49 Reorder the terms: 9 + -15a = 9 + 49 + 3a Combine like terms: 9 + 49 = 58 9 + -15a = 58 + 3a Solving 9 + -15a = 58 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 9 + -15a + -3a = 58 + 3a + -3a Combine like terms: -15a + -3a = -18a 9 + -18a = 58 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + -18a = 58 + 0 9 + -18a = 58 Add '-9' to each side of the equation. 9 + -9 + -18a = 58 + -9 Combine like terms: 9 + -9 = 0 0 + -18a = 58 + -9 -18a = 58 + -9 Combine like terms: 58 + -9 = 49 -18a = 49 Divide each side by '-18'. a = -2.722222222 Simplifying a = -2.722222222
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