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Simplifying 3a + 7 + 4a + b + 11 + 2b = 360 Reorder the terms: 7 + 11 + 3a + 4a + b + 2b = 360 Combine like terms: 7 + 11 = 18 18 + 3a + 4a + b + 2b = 360 Combine like terms: 3a + 4a = 7a 18 + 7a + b + 2b = 360 Combine like terms: b + 2b = 3b 18 + 7a + 3b = 360 Solving 18 + 7a + 3b = 360 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 7a + -18 + 3b = 360 + -18 Reorder the terms: 18 + -18 + 7a + 3b = 360 + -18 Combine like terms: 18 + -18 = 0 0 + 7a + 3b = 360 + -18 7a + 3b = 360 + -18 Combine like terms: 360 + -18 = 342 7a + 3b = 342 Add '-3b' to each side of the equation. 7a + 3b + -3b = 342 + -3b Combine like terms: 3b + -3b = 0 7a + 0 = 342 + -3b 7a = 342 + -3b Divide each side by '7'. a = 48.85714286 + -0.4285714286b Simplifying a = 48.85714286 + -0.4285714286b
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