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Simplifying 8b + 10 + -3b = 5(4 + -1b) Reorder the terms: 10 + 8b + -3b = 5(4 + -1b) Combine like terms: 8b + -3b = 5b 10 + 5b = 5(4 + -1b) 10 + 5b = (4 * 5 + -1b * 5) 10 + 5b = (20 + -5b) Solving 10 + 5b = 20 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 10 + 5b + 5b = 20 + -5b + 5b Combine like terms: 5b + 5b = 10b 10 + 10b = 20 + -5b + 5b Combine like terms: -5b + 5b = 0 10 + 10b = 20 + 0 10 + 10b = 20 Add '-10' to each side of the equation. 10 + -10 + 10b = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 10b = 20 + -10 10b = 20 + -10 Combine like terms: 20 + -10 = 10 10b = 10 Divide each side by '10'. b = 1 Simplifying b = 1
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