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Simplifying 3(a + 3) + -6 = 21 + -9(x + 5) Reorder the terms: 3(3 + a) + -6 = 21 + -9(x + 5) (3 * 3 + a * 3) + -6 = 21 + -9(x + 5) (9 + 3a) + -6 = 21 + -9(x + 5) Reorder the terms: 9 + -6 + 3a = 21 + -9(x + 5) Combine like terms: 9 + -6 = 3 3 + 3a = 21 + -9(x + 5) Reorder the terms: 3 + 3a = 21 + -9(5 + x) 3 + 3a = 21 + (5 * -9 + x * -9) 3 + 3a = 21 + (-45 + -9x) Combine like terms: 21 + -45 = -24 3 + 3a = -24 + -9x Solving 3 + 3a = -24 + -9x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3a = -24 + -3 + -9x Combine like terms: 3 + -3 = 0 0 + 3a = -24 + -3 + -9x 3a = -24 + -3 + -9x Combine like terms: -24 + -3 = -27 3a = -27 + -9x Divide each side by '3'. a = -9 + -3x Simplifying a = -9 + -3x
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