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Simplifying -3a + -3(4 + -2a) = 2(a + -3) + 2 -3a + (4 * -3 + -2a * -3) = 2(a + -3) + 2 -3a + (-12 + 6a) = 2(a + -3) + 2 Reorder the terms: -12 + -3a + 6a = 2(a + -3) + 2 Combine like terms: -3a + 6a = 3a -12 + 3a = 2(a + -3) + 2 Reorder the terms: -12 + 3a = 2(-3 + a) + 2 -12 + 3a = (-3 * 2 + a * 2) + 2 -12 + 3a = (-6 + 2a) + 2 Reorder the terms: -12 + 3a = -6 + 2 + 2a Combine like terms: -6 + 2 = -4 -12 + 3a = -4 + 2a Solving -12 + 3a = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -12 + 3a + -2a = -4 + 2a + -2a Combine like terms: 3a + -2a = 1a -12 + 1a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 1a = -4 + 0 -12 + 1a = -4 Add '12' to each side of the equation. -12 + 12 + 1a = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 1a = -4 + 12 1a = -4 + 12 Combine like terms: -4 + 12 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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