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Simplifying 10b + 12 = 2b + 52 Reorder the terms: 12 + 10b = 2b + 52 Reorder the terms: 12 + 10b = 52 + 2b Solving 12 + 10b = 52 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 12 + 10b + -2b = 52 + 2b + -2b Combine like terms: 10b + -2b = 8b 12 + 8b = 52 + 2b + -2b Combine like terms: 2b + -2b = 0 12 + 8b = 52 + 0 12 + 8b = 52 Add '-12' to each side of the equation. 12 + -12 + 8b = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 8b = 52 + -12 8b = 52 + -12 Combine like terms: 52 + -12 = 40 8b = 40 Divide each side by '8'. b = 5 Simplifying b = 5
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