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Simplifying (2a + 32) + -1(4a + -4) = 180 Reorder the terms: (32 + 2a) + -1(4a + -4) = 180 Remove parenthesis around (32 + 2a) 32 + 2a + -1(4a + -4) = 180 Reorder the terms: 32 + 2a + -1(-4 + 4a) = 180 32 + 2a + (-4 * -1 + 4a * -1) = 180 32 + 2a + (4 + -4a) = 180 Reorder the terms: 32 + 4 + 2a + -4a = 180 Combine like terms: 32 + 4 = 36 36 + 2a + -4a = 180 Combine like terms: 2a + -4a = -2a 36 + -2a = 180 Solving 36 + -2a = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -2a = 180 + -36 Combine like terms: 36 + -36 = 0 0 + -2a = 180 + -36 -2a = 180 + -36 Combine like terms: 180 + -36 = 144 -2a = 144 Divide each side by '-2'. a = -72 Simplifying a = -72
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