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Simplifying (2a + 8) + (4b + 5) = k Reorder the terms: (8 + 2a) + (4b + 5) = k Remove parenthesis around (8 + 2a) 8 + 2a + (4b + 5) = k Reorder the terms: 8 + 2a + (5 + 4b) = k Remove parenthesis around (5 + 4b) 8 + 2a + 5 + 4b = k Reorder the terms: 8 + 5 + 2a + 4b = k Combine like terms: 8 + 5 = 13 13 + 2a + 4b = k Solving 13 + 2a + 4b = k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2a + -13 + 4b = -13 + k Reorder the terms: 13 + -13 + 2a + 4b = -13 + k Combine like terms: 13 + -13 = 0 0 + 2a + 4b = -13 + k 2a + 4b = -13 + k Add '-4b' to each side of the equation. 2a + 4b + -4b = -13 + -4b + k Combine like terms: 4b + -4b = 0 2a + 0 = -13 + -4b + k 2a = -13 + -4b + k Divide each side by '2'. a = -6.5 + -2b + 0.5k Simplifying a = -6.5 + -2b + 0.5k
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