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Simplifying 5 + 8b = 7(5 + 2b) 5 + 8b = (5 * 7 + 2b * 7) 5 + 8b = (35 + 14b) Solving 5 + 8b = 35 + 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. 5 + 8b + -14b = 35 + 14b + -14b Combine like terms: 8b + -14b = -6b 5 + -6b = 35 + 14b + -14b Combine like terms: 14b + -14b = 0 5 + -6b = 35 + 0 5 + -6b = 35 Add '-5' to each side of the equation. 5 + -5 + -6b = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -6b = 35 + -5 -6b = 35 + -5 Combine like terms: 35 + -5 = 30 -6b = 30 Divide each side by '-6'. b = -5 Simplifying b = -5
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