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Simplifying 6b + 14 = 7 + (-1b) Reorder the terms: 14 + 6b = 7 + (-1b) Solving 14 + 6b = 7 + (-1b) Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '(b)' to each side of the equation. 14 + 6b + (b) = 7 + (-1b) + (b) 14 + 6b + b = 7 + (-1b) + (b) Combine like terms: 6b + b = 7b 14 + 7b = 7 + (-1b) + (b) 14 + 7b = 7 + (-1b) + b Combine like terms: (-1b) + b = 0 14 + 7b = 7 + 0 14 + 7b = 7 Add '-14' to each side of the equation. 14 + -14 + 7b = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7b = 7 + -14 7b = 7 + -14 Combine like terms: 7 + -14 = -7 7b = -7 Divide each side by '7'. b = -1 Simplifying b = -1
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