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Simplifying 6b + -7 = 83 + -3b Reorder the terms: -7 + 6b = 83 + -3b Solving -7 + 6b = 83 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -7 + 6b + 3b = 83 + -3b + 3b Combine like terms: 6b + 3b = 9b -7 + 9b = 83 + -3b + 3b Combine like terms: -3b + 3b = 0 -7 + 9b = 83 + 0 -7 + 9b = 83 Add '7' to each side of the equation. -7 + 7 + 9b = 83 + 7 Combine like terms: -7 + 7 = 0 0 + 9b = 83 + 7 9b = 83 + 7 Combine like terms: 83 + 7 = 90 9b = 90 Divide each side by '9'. b = 10 Simplifying b = 10
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