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Simplifying 5 + 5b + -3 + 7b = 5b + 7 + 2b Reorder the terms: 5 + -3 + 5b + 7b = 5b + 7 + 2b Combine like terms: 5 + -3 = 2 2 + 5b + 7b = 5b + 7 + 2b Combine like terms: 5b + 7b = 12b 2 + 12b = 5b + 7 + 2b Reorder the terms: 2 + 12b = 7 + 5b + 2b Combine like terms: 5b + 2b = 7b 2 + 12b = 7 + 7b Solving 2 + 12b = 7 + 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. 2 + 12b + -7b = 7 + 7b + -7b Combine like terms: 12b + -7b = 5b 2 + 5b = 7 + 7b + -7b Combine like terms: 7b + -7b = 0 2 + 5b = 7 + 0 2 + 5b = 7 Add '-2' to each side of the equation. 2 + -2 + 5b = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5b = 7 + -2 5b = 7 + -2 Combine like terms: 7 + -2 = 5 5b = 5 Divide each side by '5'. b = 1 Simplifying b = 1
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