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Simplifying -8 + -5b = 7b + 7(b + 7) Reorder the terms: -8 + -5b = 7b + 7(7 + b) -8 + -5b = 7b + (7 * 7 + b * 7) -8 + -5b = 7b + (49 + 7b) Reorder the terms: -8 + -5b = 49 + 7b + 7b Combine like terms: 7b + 7b = 14b -8 + -5b = 49 + 14b Solving -8 + -5b = 49 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. -8 + -5b + -14b = 49 + 14b + -14b Combine like terms: -5b + -14b = -19b -8 + -19b = 49 + 14b + -14b Combine like terms: 14b + -14b = 0 -8 + -19b = 49 + 0 -8 + -19b = 49 Add '8' to each side of the equation. -8 + 8 + -19b = 49 + 8 Combine like terms: -8 + 8 = 0 0 + -19b = 49 + 8 -19b = 49 + 8 Combine like terms: 49 + 8 = 57 -19b = 57 Divide each side by '-19'. b = -3 Simplifying b = -3
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