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Simplifying 5b + 10 = 42 + -3b Reorder the terms: 10 + 5b = 42 + -3b Solving 10 + 5b = 42 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 10 + 5b + 3b = 42 + -3b + 3b Combine like terms: 5b + 3b = 8b 10 + 8b = 42 + -3b + 3b Combine like terms: -3b + 3b = 0 10 + 8b = 42 + 0 10 + 8b = 42 Add '-10' to each side of the equation. 10 + -10 + 8b = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 8b = 42 + -10 8b = 42 + -10 Combine like terms: 42 + -10 = 32 8b = 32 Divide each side by '8'. b = 4 Simplifying b = 4
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