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Simplifying -14 + 6b + 7 = 1 + 5b Reorder the terms: -14 + 7 + 6b = 1 + 5b Combine like terms: -14 + 7 = -7 -7 + 6b = 1 + 5b Solving -7 + 6b = 1 + 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. -7 + 6b + -5b = 1 + 5b + -5b Combine like terms: 6b + -5b = 1b -7 + 1b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 -7 + 1b = 1 + 0 -7 + 1b = 1 Add '7' to each side of the equation. -7 + 7 + 1b = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1b = 1 + 7 1b = 1 + 7 Combine like terms: 1 + 7 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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