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Simplifying 49 = 5(3a + 7) + -2(-7 + 2a) Reorder the terms: 49 = 5(7 + 3a) + -2(-7 + 2a) 49 = (7 * 5 + 3a * 5) + -2(-7 + 2a) 49 = (35 + 15a) + -2(-7 + 2a) 49 = 35 + 15a + (-7 * -2 + 2a * -2) 49 = 35 + 15a + (14 + -4a) Reorder the terms: 49 = 35 + 14 + 15a + -4a Combine like terms: 35 + 14 = 49 49 = 49 + 15a + -4a Combine like terms: 15a + -4a = 11a 49 = 49 + 11a Add '-49' to each side of the equation. 49 + -49 = 49 + -49 + 11a Combine like terms: 49 + -49 = 0 0 = 49 + -49 + 11a Combine like terms: 49 + -49 = 0 0 = 0 + 11a 0 = 11a Solving 0 = 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 0 + -11a = 11a + -11a Remove the zero: -11a = 11a + -11a Combine like terms: 11a + -11a = 0 -11a = 0 Divide each side by '-11'. a = 0 Simplifying a = 0
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