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Simplifying 3b + a + 2 = b + 5a + -50 Reorder the terms: 2 + a + 3b = b + 5a + -50 Reorder the terms: 2 + a + 3b = -50 + 5a + b Solving 2 + a + 3b = -50 + 5a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 2 + a + -5a + 3b = -50 + 5a + -5a + b Combine like terms: a + -5a = -4a 2 + -4a + 3b = -50 + 5a + -5a + b Combine like terms: 5a + -5a = 0 2 + -4a + 3b = -50 + 0 + b 2 + -4a + 3b = -50 + b Add '-2' to each side of the equation. 2 + -4a + -2 + 3b = -50 + -2 + b Reorder the terms: 2 + -2 + -4a + 3b = -50 + -2 + b Combine like terms: 2 + -2 = 0 0 + -4a + 3b = -50 + -2 + b -4a + 3b = -50 + -2 + b Combine like terms: -50 + -2 = -52 -4a + 3b = -52 + b Add '-3b' to each side of the equation. -4a + 3b + -3b = -52 + b + -3b Combine like terms: 3b + -3b = 0 -4a + 0 = -52 + b + -3b -4a = -52 + b + -3b Combine like terms: b + -3b = -2b -4a = -52 + -2b Divide each side by '-4'. a = 13 + 0.5b Simplifying a = 13 + 0.5b
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