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Simplifying 5b + 14 = 6b + 7 Reorder the terms: 14 + 5b = 6b + 7 Reorder the terms: 14 + 5b = 7 + 6b Solving 14 + 5b = 7 + 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. 14 + 5b + -6b = 7 + 6b + -6b Combine like terms: 5b + -6b = -1b 14 + -1b = 7 + 6b + -6b Combine like terms: 6b + -6b = 0 14 + -1b = 7 + 0 14 + -1b = 7 Add '-14' to each side of the equation. 14 + -14 + -1b = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -1b = 7 + -14 -1b = 7 + -14 Combine like terms: 7 + -14 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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