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Simplifying 5 = a + b + (-1a + b + -9) Reorder the terms: 5 = a + b + (-9 + -1a + b) Remove parenthesis around (-9 + -1a + b) 5 = a + b + -9 + -1a + b Reorder the terms: 5 = -9 + a + -1a + b + b Combine like terms: a + -1a = 0 5 = -9 + 0 + b + b 5 = -9 + b + b Combine like terms: b + b = 2b 5 = -9 + 2b Solving 5 = -9 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 5 + -2b = -9 + 2b + -2b Combine like terms: 2b + -2b = 0 5 + -2b = -9 + 0 5 + -2b = -9 Add '-5' to each side of the equation. 5 + -5 + -2b = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2b = -9 + -5 -2b = -9 + -5 Combine like terms: -9 + -5 = -14 -2b = -14 Divide each side by '-2'. b = 7 Simplifying b = 7
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