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Simplifying 35 + 2b = 7(-8b + 5) Reorder the terms: 35 + 2b = 7(5 + -8b) 35 + 2b = (5 * 7 + -8b * 7) 35 + 2b = (35 + -56b) Add '-35' to each side of the equation. 35 + -35 + 2b = 35 + -35 + -56b Combine like terms: 35 + -35 = 0 0 + 2b = 35 + -35 + -56b 2b = 35 + -35 + -56b Combine like terms: 35 + -35 = 0 2b = 0 + -56b 2b = -56b Solving 2b = -56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '56b' to each side of the equation. 2b + 56b = -56b + 56b Combine like terms: 2b + 56b = 58b 58b = -56b + 56b Combine like terms: -56b + 56b = 0 58b = 0 Divide each side by '58'. b = 0 Simplifying b = 0
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