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Simplifying (b + -31) + (b + -30) = b Reorder the terms: (-31 + b) + (b + -30) = b Remove parenthesis around (-31 + b) -31 + b + (b + -30) = b Reorder the terms: -31 + b + (-30 + b) = b Remove parenthesis around (-30 + b) -31 + b + -30 + b = b Reorder the terms: -31 + -30 + b + b = b Combine like terms: -31 + -30 = -61 -61 + b + b = b Combine like terms: b + b = 2b -61 + 2b = b Solving -61 + 2b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -61 + 2b + -1b = b + -1b Combine like terms: 2b + -1b = 1b -61 + 1b = b + -1b Combine like terms: b + -1b = 0 -61 + 1b = 0 Add '61' to each side of the equation. -61 + 61 + 1b = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 1b = 0 + 61 1b = 0 + 61 Combine like terms: 0 + 61 = 61 1b = 61 Divide each side by '1'. b = 61 Simplifying b = 61
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