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Simplifying 3a + -3(2a + -6) = 2(-6 + 3a) + -6 Reorder the terms: 3a + -3(-6 + 2a) = 2(-6 + 3a) + -6 3a + (-6 * -3 + 2a * -3) = 2(-6 + 3a) + -6 3a + (18 + -6a) = 2(-6 + 3a) + -6 Reorder the terms: 18 + 3a + -6a = 2(-6 + 3a) + -6 Combine like terms: 3a + -6a = -3a 18 + -3a = 2(-6 + 3a) + -6 18 + -3a = (-6 * 2 + 3a * 2) + -6 18 + -3a = (-12 + 6a) + -6 Reorder the terms: 18 + -3a = -12 + -6 + 6a Combine like terms: -12 + -6 = -18 18 + -3a = -18 + 6a Solving 18 + -3a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 18 + -3a + -6a = -18 + 6a + -6a Combine like terms: -3a + -6a = -9a 18 + -9a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 18 + -9a = -18 + 0 18 + -9a = -18 Add '-18' to each side of the equation. 18 + -18 + -9a = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -9a = -18 + -18 -9a = -18 + -18 Combine like terms: -18 + -18 = -36 -9a = -36 Divide each side by '-9'. a = 4 Simplifying a = 4
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