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Simplifying 5(2 + -1b) = 7 + -8b (2 * 5 + -1b * 5) = 7 + -8b (10 + -5b) = 7 + -8b Solving 10 + -5b = 7 + -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. 10 + -5b + 8b = 7 + -8b + 8b Combine like terms: -5b + 8b = 3b 10 + 3b = 7 + -8b + 8b Combine like terms: -8b + 8b = 0 10 + 3b = 7 + 0 10 + 3b = 7 Add '-10' to each side of the equation. 10 + -10 + 3b = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 3b = 7 + -10 3b = 7 + -10 Combine like terms: 7 + -10 = -3 3b = -3 Divide each side by '3'. b = -1 Simplifying b = -1
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