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Simplifying 2(3a + -6) = -3 + -3a Reorder the terms: 2(-6 + 3a) = -3 + -3a (-6 * 2 + 3a * 2) = -3 + -3a (-12 + 6a) = -3 + -3a Solving -12 + 6a = -3 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -12 + 6a + 3a = -3 + -3a + 3a Combine like terms: 6a + 3a = 9a -12 + 9a = -3 + -3a + 3a Combine like terms: -3a + 3a = 0 -12 + 9a = -3 + 0 -12 + 9a = -3 Add '12' to each side of the equation. -12 + 12 + 9a = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 9a = -3 + 12 9a = -3 + 12 Combine like terms: -3 + 12 = 9 9a = 9 Divide each side by '9'. a = 1 Simplifying a = 1
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