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Simplifying -14 + -6b = -8 + -8(b + -1) Reorder the terms: -14 + -6b = -8 + -8(-1 + b) -14 + -6b = -8 + (-1 * -8 + b * -8) -14 + -6b = -8 + (8 + -8b) Combine like terms: -8 + 8 = 0 -14 + -6b = 0 + -8b -14 + -6b = -8b Solving -14 + -6b = -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -14 + -6b + 8b = -8b + 8b Combine like terms: -6b + 8b = 2b -14 + 2b = -8b + 8b Combine like terms: -8b + 8b = 0 -14 + 2b = 0 Add '14' to each side of the equation. -14 + 14 + 2b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2b = 0 + 14 2b = 0 + 14 Combine like terms: 0 + 14 = 14 2b = 14 Divide each side by '2'. b = 7 Simplifying b = 7
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