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Simplifying 4b + -8 + -9b + 2 = 3b + 3b + 7 Reorder the terms: -8 + 2 + 4b + -9b = 3b + 3b + 7 Combine like terms: -8 + 2 = -6 -6 + 4b + -9b = 3b + 3b + 7 Combine like terms: 4b + -9b = -5b -6 + -5b = 3b + 3b + 7 Reorder the terms: -6 + -5b = 7 + 3b + 3b Combine like terms: 3b + 3b = 6b -6 + -5b = 7 + 6b Solving -6 + -5b = 7 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -6 + -5b + -6b = 7 + 6b + -6b Combine like terms: -5b + -6b = -11b -6 + -11b = 7 + 6b + -6b Combine like terms: 6b + -6b = 0 -6 + -11b = 7 + 0 -6 + -11b = 7 Add '6' to each side of the equation. -6 + 6 + -11b = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -11b = 7 + 6 -11b = 7 + 6 Combine like terms: 7 + 6 = 13 -11b = 13 Divide each side by '-11'. b = -1.181818182 Simplifying b = -1.181818182
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