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Simplifying -2a + -1(2a) + 12 = -20 + 8a + (-4a) Remove parenthesis around (2a) -2a + -1 * 2a + 12 = -20 + 8a + (-4a) Multiply -1 * 2 -2a + -2a + 12 = -20 + 8a + (-4a) Reorder the terms: 12 + -2a + -2a = -20 + 8a + (-4a) Combine like terms: -2a + -2a = -4a 12 + -4a = -20 + 8a + (-4a) Combine like terms: 8a + (-4a) = 4a 12 + -4a = -20 + 4a Solving 12 + -4a = -20 + 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. 12 + -4a + -4a = -20 + 4a + -4a Combine like terms: -4a + -4a = -8a 12 + -8a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + -8a = -20 + 0 12 + -8a = -20 Add '-12' to each side of the equation. 12 + -12 + -8a = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -8a = -20 + -12 -8a = -20 + -12 Combine like terms: -20 + -12 = -32 -8a = -32 Divide each side by '-8'. a = 4 Simplifying a = 4
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