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Simplifying 4a + -2(a + 6) = 2 + 3a Reorder the terms: 4a + -2(6 + a) = 2 + 3a 4a + (6 * -2 + a * -2) = 2 + 3a 4a + (-12 + -2a) = 2 + 3a Reorder the terms: -12 + 4a + -2a = 2 + 3a Combine like terms: 4a + -2a = 2a -12 + 2a = 2 + 3a Solving -12 + 2a = 2 + 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 + 2a + -3a = 2 + 3a + -3a Combine like terms: 2a + -3a = -1a -12 + -1a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -1a = 2 + 0 -12 + -1a = 2 Add '12' to each side of the equation. -12 + 12 + -1a = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = 2 + 12 -1a = 2 + 12 Combine like terms: 2 + 12 = 14 -1a = 14 Divide each side by '-1'. a = -14 Simplifying a = -14
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