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Simplifying 2(6b + 8) = 9 + 13b Reorder the terms: 2(8 + 6b) = 9 + 13b (8 * 2 + 6b * 2) = 9 + 13b (16 + 12b) = 9 + 13b Solving 16 + 12b = 9 + 13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-13b' to each side of the equation. 16 + 12b + -13b = 9 + 13b + -13b Combine like terms: 12b + -13b = -1b 16 + -1b = 9 + 13b + -13b Combine like terms: 13b + -13b = 0 16 + -1b = 9 + 0 16 + -1b = 9 Add '-16' to each side of the equation. 16 + -16 + -1b = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -1b = 9 + -16 -1b = 9 + -16 Combine like terms: 9 + -16 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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