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Simplifying 8 + -2(a + -2) = 2(a + 3) + -6 Reorder the terms: 8 + -2(-2 + a) = 2(a + 3) + -6 8 + (-2 * -2 + a * -2) = 2(a + 3) + -6 8 + (4 + -2a) = 2(a + 3) + -6 Combine like terms: 8 + 4 = 12 12 + -2a = 2(a + 3) + -6 Reorder the terms: 12 + -2a = 2(3 + a) + -6 12 + -2a = (3 * 2 + a * 2) + -6 12 + -2a = (6 + 2a) + -6 Reorder the terms: 12 + -2a = 6 + -6 + 2a Combine like terms: 6 + -6 = 0 12 + -2a = 0 + 2a 12 + -2a = 2a Solving 12 + -2a = 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 + -2a + -2a = 2a + -2a Combine like terms: -2a + -2a = -4a 12 + -4a = 2a + -2a Combine like terms: 2a + -2a = 0 12 + -4a = 0 Add '-12' to each side of the equation. 12 + -12 + -4a = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = 0 + -12 -4a = 0 + -12 Combine like terms: 0 + -12 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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