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Simplifying 7b + 8 = 6(b + 6) Reorder the terms: 8 + 7b = 6(b + 6) Reorder the terms: 8 + 7b = 6(6 + b) 8 + 7b = (6 * 6 + b * 6) 8 + 7b = (36 + 6b) Solving 8 + 7b = 36 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 8 + 7b + -6b = 36 + 6b + -6b Combine like terms: 7b + -6b = 1b 8 + 1b = 36 + 6b + -6b Combine like terms: 6b + -6b = 0 8 + 1b = 36 + 0 8 + 1b = 36 Add '-8' to each side of the equation. 8 + -8 + 1b = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 1b = 36 + -8 1b = 36 + -8 Combine like terms: 36 + -8 = 28 1b = 28 Divide each side by '1'. b = 28 Simplifying b = 28
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