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