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Simplifying 3(a + -3) + 6 = 7(3a + 1) Reorder the terms: 3(-3 + a) + 6 = 7(3a + 1) (-3 * 3 + a * 3) + 6 = 7(3a + 1) (-9 + 3a) + 6 = 7(3a + 1) Reorder the terms: -9 + 6 + 3a = 7(3a + 1) Combine like terms: -9 + 6 = -3 -3 + 3a = 7(3a + 1) Reorder the terms: -3 + 3a = 7(1 + 3a) -3 + 3a = (1 * 7 + 3a * 7) -3 + 3a = (7 + 21a) Solving -3 + 3a = 7 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -3 + 3a + -21a = 7 + 21a + -21a Combine like terms: 3a + -21a = -18a -3 + -18a = 7 + 21a + -21a Combine like terms: 21a + -21a = 0 -3 + -18a = 7 + 0 -3 + -18a = 7 Add '3' to each side of the equation. -3 + 3 + -18a = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -18a = 7 + 3 -18a = 7 + 3 Combine like terms: 7 + 3 = 10 -18a = 10 Divide each side by '-18'. a = -0.5555555556 Simplifying a = -0.5555555556
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