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Simplifying 2(a + 2) = 6(a + -2) Reorder the terms: 2(2 + a) = 6(a + -2) (2 * 2 + a * 2) = 6(a + -2) (4 + 2a) = 6(a + -2) Reorder the terms: 4 + 2a = 6(-2 + a) 4 + 2a = (-2 * 6 + a * 6) 4 + 2a = (-12 + 6a) Solving 4 + 2a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + 2a + -6a = -12 + 6a + -6a Combine like terms: 2a + -6a = -4a 4 + -4a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + -4a = -12 + 0 4 + -4a = -12 Add '-4' to each side of the equation. 4 + -4 + -4a = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = -12 + -4 -4a = -12 + -4 Combine like terms: -12 + -4 = -16 -4a = -16 Divide each side by '-4'. a = 4 Simplifying a = 4
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