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Simplifying 3b + 5 + a + 15 + 3a + 11 + b + 11 = 360 Reorder the terms: 5 + 15 + 11 + 11 + a + 3a + 3b + b = 360 Combine like terms: 5 + 15 = 20 20 + 11 + 11 + a + 3a + 3b + b = 360 Combine like terms: 20 + 11 = 31 31 + 11 + a + 3a + 3b + b = 360 Combine like terms: 31 + 11 = 42 42 + a + 3a + 3b + b = 360 Combine like terms: a + 3a = 4a 42 + 4a + 3b + b = 360 Combine like terms: 3b + b = 4b 42 + 4a + 4b = 360 Solving 42 + 4a + 4b = 360 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 4a + -42 + 4b = 360 + -42 Reorder the terms: 42 + -42 + 4a + 4b = 360 + -42 Combine like terms: 42 + -42 = 0 0 + 4a + 4b = 360 + -42 4a + 4b = 360 + -42 Combine like terms: 360 + -42 = 318 4a + 4b = 318 Add '-4b' to each side of the equation. 4a + 4b + -4b = 318 + -4b Combine like terms: 4b + -4b = 0 4a + 0 = 318 + -4b 4a = 318 + -4b Divide each side by '4'. a = 79.5 + -1b Simplifying a = 79.5 + -1b
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