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Simplifying 6b + 7 = 2b + 35 Reorder the terms: 7 + 6b = 2b + 35 Reorder the terms: 7 + 6b = 35 + 2b Solving 7 + 6b = 35 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 7 + 6b + -2b = 35 + 2b + -2b Combine like terms: 6b + -2b = 4b 7 + 4b = 35 + 2b + -2b Combine like terms: 2b + -2b = 0 7 + 4b = 35 + 0 7 + 4b = 35 Add '-7' to each side of the equation. 7 + -7 + 4b = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 35 + -7 4b = 35 + -7 Combine like terms: 35 + -7 = 28 4b = 28 Divide each side by '4'. b = 7 Simplifying b = 7
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