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Simplifying 3(3 + -1a) = 5(2a + 7) (3 * 3 + -1a * 3) = 5(2a + 7) (9 + -3a) = 5(2a + 7) Reorder the terms: 9 + -3a = 5(7 + 2a) 9 + -3a = (7 * 5 + 2a * 5) 9 + -3a = (35 + 10a) Solving 9 + -3a = 35 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 9 + -3a + -10a = 35 + 10a + -10a Combine like terms: -3a + -10a = -13a 9 + -13a = 35 + 10a + -10a Combine like terms: 10a + -10a = 0 9 + -13a = 35 + 0 9 + -13a = 35 Add '-9' to each side of the equation. 9 + -9 + -13a = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -13a = 35 + -9 -13a = 35 + -9 Combine like terms: 35 + -9 = 26 -13a = 26 Divide each side by '-13'. a = -2 Simplifying a = -2
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