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Simplifying 12 + a = 2(a + -4) Reorder the terms: 12 + a = 2(-4 + a) 12 + a = (-4 * 2 + a * 2) 12 + a = (-8 + 2a) Solving 12 + a = -8 + 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 + a + -2a = -8 + 2a + -2a Combine like terms: a + -2a = -1a 12 + -1a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + -1a = -8 + 0 12 + -1a = -8 Add '-12' to each side of the equation. 12 + -12 + -1a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = -8 + -12 -1a = -8 + -12 Combine like terms: -8 + -12 = -20 -1a = -20 Divide each side by '-1'. a = 20 Simplifying a = 20
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