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Simplifying 8 + -5b = -7(-5 + 2b) 8 + -5b = (-5 * -7 + 2b * -7) 8 + -5b = (35 + -14b) Solving 8 + -5b = 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. 8 + -5b + 14b = 35 + -14b + 14b Combine like terms: -5b + 14b = 9b 8 + 9b = 35 + -14b + 14b Combine like terms: -14b + 14b = 0 8 + 9b = 35 + 0 8 + 9b = 35 Add '-8' to each side of the equation. 8 + -8 + 9b = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 9b = 35 + -8 9b = 35 + -8 Combine like terms: 35 + -8 = 27 9b = 27 Divide each side by '9'. b = 3 Simplifying b = 3
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