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Simplifying (90 + -1a) + (180 + -1a) = 160 Remove parenthesis around (90 + -1a) 90 + -1a + (180 + -1a) = 160 Remove parenthesis around (180 + -1a) 90 + -1a + 180 + -1a = 160 Reorder the terms: 90 + 180 + -1a + -1a = 160 Combine like terms: 90 + 180 = 270 270 + -1a + -1a = 160 Combine like terms: -1a + -1a = -2a 270 + -2a = 160 Solving 270 + -2a = 160 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + -270 + -2a = 160 + -270 Combine like terms: 270 + -270 = 0 0 + -2a = 160 + -270 -2a = 160 + -270 Combine like terms: 160 + -270 = -110 -2a = -110 Divide each side by '-2'. a = 55 Simplifying a = 55
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