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Simplifying 4b + 7 = 6b + 3 + -1b Reorder the terms: 7 + 4b = 6b + 3 + -1b Reorder the terms: 7 + 4b = 3 + 6b + -1b Combine like terms: 6b + -1b = 5b 7 + 4b = 3 + 5b Solving 7 + 4b = 3 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 7 + 4b + -5b = 3 + 5b + -5b Combine like terms: 4b + -5b = -1b 7 + -1b = 3 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + -1b = 3 + 0 7 + -1b = 3 Add '-7' to each side of the equation. 7 + -7 + -1b = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 3 + -7 -1b = 3 + -7 Combine like terms: 3 + -7 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4
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