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Simplifying 3b + 13 = 7b + 17 Reorder the terms: 13 + 3b = 7b + 17 Reorder the terms: 13 + 3b = 17 + 7b Solving 13 + 3b = 17 + 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. 13 + 3b + -7b = 17 + 7b + -7b Combine like terms: 3b + -7b = -4b 13 + -4b = 17 + 7b + -7b Combine like terms: 7b + -7b = 0 13 + -4b = 17 + 0 13 + -4b = 17 Add '-13' to each side of the equation. 13 + -13 + -4b = 17 + -13 Combine like terms: 13 + -13 = 0 0 + -4b = 17 + -13 -4b = 17 + -13 Combine like terms: 17 + -13 = 4 -4b = 4 Divide each side by '-4'. b = -1 Simplifying b = -1
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