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Simplifying 5b + 7 + -9 = -2b + 19 Reorder the terms: 7 + -9 + 5b = -2b + 19 Combine like terms: 7 + -9 = -2 -2 + 5b = -2b + 19 Reorder the terms: -2 + 5b = 19 + -2b Solving -2 + 5b = 19 + -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. -2 + 5b + 2b = 19 + -2b + 2b Combine like terms: 5b + 2b = 7b -2 + 7b = 19 + -2b + 2b Combine like terms: -2b + 2b = 0 -2 + 7b = 19 + 0 -2 + 7b = 19 Add '2' to each side of the equation. -2 + 2 + 7b = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7b = 19 + 2 7b = 19 + 2 Combine like terms: 19 + 2 = 21 7b = 21 Divide each side by '7'. b = 3 Simplifying b = 3
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