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Simplifying 5b + 12 = 7b + 10 Reorder the terms: 12 + 5b = 7b + 10 Reorder the terms: 12 + 5b = 10 + 7b Solving 12 + 5b = 10 + 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. 12 + 5b + -7b = 10 + 7b + -7b Combine like terms: 5b + -7b = -2b 12 + -2b = 10 + 7b + -7b Combine like terms: 7b + -7b = 0 12 + -2b = 10 + 0 12 + -2b = 10 Add '-12' to each side of the equation. 12 + -12 + -2b = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2b = 10 + -12 -2b = 10 + -12 Combine like terms: 10 + -12 = -2 -2b = -2 Divide each side by '-2'. b = 1 Simplifying b = 1
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