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Simplifying 5b + 10 = 4b + 17 Reorder the terms: 10 + 5b = 4b + 17 Reorder the terms: 10 + 5b = 17 + 4b Solving 10 + 5b = 17 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 10 + 5b + -4b = 17 + 4b + -4b Combine like terms: 5b + -4b = 1b 10 + 1b = 17 + 4b + -4b Combine like terms: 4b + -4b = 0 10 + 1b = 17 + 0 10 + 1b = 17 Add '-10' to each side of the equation. 10 + -10 + 1b = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 1b = 17 + -10 1b = 17 + -10 Combine like terms: 17 + -10 = 7 1b = 7 Divide each side by '1'. b = 7 Simplifying b = 7
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