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Simplifying 4b + 17 = 7b + 2 Reorder the terms: 17 + 4b = 7b + 2 Reorder the terms: 17 + 4b = 2 + 7b Solving 17 + 4b = 2 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 17 + 4b + -7b = 2 + 7b + -7b Combine like terms: 4b + -7b = -3b 17 + -3b = 2 + 7b + -7b Combine like terms: 7b + -7b = 0 17 + -3b = 2 + 0 17 + -3b = 2 Add '-17' to each side of the equation. 17 + -17 + -3b = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -3b = 2 + -17 -3b = 2 + -17 Combine like terms: 2 + -17 = -15 -3b = -15 Divide each side by '-3'. b = 5 Simplifying b = 5
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