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Simplifying 3a + -3(7 + 5a) = 9(2 + a) 3a + (7 * -3 + 5a * -3) = 9(2 + a) 3a + (-21 + -15a) = 9(2 + a) Reorder the terms: -21 + 3a + -15a = 9(2 + a) Combine like terms: 3a + -15a = -12a -21 + -12a = 9(2 + a) -21 + -12a = (2 * 9 + a * 9) -21 + -12a = (18 + 9a) Solving -21 + -12a = 18 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -21 + -12a + -9a = 18 + 9a + -9a Combine like terms: -12a + -9a = -21a -21 + -21a = 18 + 9a + -9a Combine like terms: 9a + -9a = 0 -21 + -21a = 18 + 0 -21 + -21a = 18 Add '21' to each side of the equation. -21 + 21 + -21a = 18 + 21 Combine like terms: -21 + 21 = 0 0 + -21a = 18 + 21 -21a = 18 + 21 Combine like terms: 18 + 21 = 39 -21a = 39 Divide each side by '-21'. a = -1.857142857 Simplifying a = -1.857142857
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