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Simplifying 2b + 6 = 5b + -9 Reorder the terms: 6 + 2b = 5b + -9 Reorder the terms: 6 + 2b = -9 + 5b Solving 6 + 2b = -9 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 6 + 2b + -5b = -9 + 5b + -5b Combine like terms: 2b + -5b = -3b 6 + -3b = -9 + 5b + -5b Combine like terms: 5b + -5b = 0 6 + -3b = -9 + 0 6 + -3b = -9 Add '-6' to each side of the equation. 6 + -6 + -3b = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3b = -9 + -6 -3b = -9 + -6 Combine like terms: -9 + -6 = -15 -3b = -15 Divide each side by '-3'. b = 5 Simplifying b = 5
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