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Simplifying 7b + 13 = 35 + -4b Reorder the terms: 13 + 7b = 35 + -4b Solving 13 + 7b = 35 + -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. 13 + 7b + 4b = 35 + -4b + 4b Combine like terms: 7b + 4b = 11b 13 + 11b = 35 + -4b + 4b Combine like terms: -4b + 4b = 0 13 + 11b = 35 + 0 13 + 11b = 35 Add '-13' to each side of the equation. 13 + -13 + 11b = 35 + -13 Combine like terms: 13 + -13 = 0 0 + 11b = 35 + -13 11b = 35 + -13 Combine like terms: 35 + -13 = 22 11b = 22 Divide each side by '11'. b = 2 Simplifying b = 2
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