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Simplifying 10b + -30 = 7b + 6 Reorder the terms: -30 + 10b = 7b + 6 Reorder the terms: -30 + 10b = 6 + 7b Solving -30 + 10b = 6 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -30 + 10b + -7b = 6 + 7b + -7b Combine like terms: 10b + -7b = 3b -30 + 3b = 6 + 7b + -7b Combine like terms: 7b + -7b = 0 -30 + 3b = 6 + 0 -30 + 3b = 6 Add '30' to each side of the equation. -30 + 30 + 3b = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 3b = 6 + 30 3b = 6 + 30 Combine like terms: 6 + 30 = 36 3b = 36 Divide each side by '3'. b = 12 Simplifying b = 12
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