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Simplifying 9b + 5b + -30 = 4 + 4b + 6 Reorder the terms: -30 + 9b + 5b = 4 + 4b + 6 Combine like terms: 9b + 5b = 14b -30 + 14b = 4 + 4b + 6 Reorder the terms: -30 + 14b = 4 + 6 + 4b Combine like terms: 4 + 6 = 10 -30 + 14b = 10 + 4b Solving -30 + 14b = 10 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -30 + 14b + -4b = 10 + 4b + -4b Combine like terms: 14b + -4b = 10b -30 + 10b = 10 + 4b + -4b Combine like terms: 4b + -4b = 0 -30 + 10b = 10 + 0 -30 + 10b = 10 Add '30' to each side of the equation. -30 + 30 + 10b = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 10b = 10 + 30 10b = 10 + 30 Combine like terms: 10 + 30 = 40 10b = 40 Divide each side by '10'. b = 4 Simplifying b = 4
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