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Simplifying 2(2a + -6) = 2(a + 3) Reorder the terms: 2(-6 + 2a) = 2(a + 3) (-6 * 2 + 2a * 2) = 2(a + 3) (-12 + 4a) = 2(a + 3) Reorder the terms: -12 + 4a = 2(3 + a) -12 + 4a = (3 * 2 + a * 2) -12 + 4a = (6 + 2a) Solving -12 + 4a = 6 + 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 + 4a + -2a = 6 + 2a + -2a Combine like terms: 4a + -2a = 2a -12 + 2a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 2a = 6 + 0 -12 + 2a = 6 Add '12' to each side of the equation. -12 + 12 + 2a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = 6 + 12 2a = 6 + 12 Combine like terms: 6 + 12 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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