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Simplifying 6(b + 2) = 5b + 13 Reorder the terms: 6(2 + b) = 5b + 13 (2 * 6 + b * 6) = 5b + 13 (12 + 6b) = 5b + 13 Reorder the terms: 12 + 6b = 13 + 5b Solving 12 + 6b = 13 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 12 + 6b + -5b = 13 + 5b + -5b Combine like terms: 6b + -5b = 1b 12 + 1b = 13 + 5b + -5b Combine like terms: 5b + -5b = 0 12 + 1b = 13 + 0 12 + 1b = 13 Add '-12' to each side of the equation. 12 + -12 + 1b = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 13 + -12 1b = 13 + -12 Combine like terms: 13 + -12 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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