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Simplifying 4b + 7 = 5b + 12 Reorder the terms: 7 + 4b = 5b + 12 Reorder the terms: 7 + 4b = 12 + 5b Solving 7 + 4b = 12 + 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 = 12 + 5b + -5b Combine like terms: 4b + -5b = -1b 7 + -1b = 12 + 5b + -5b Combine like terms: 5b + -5b = 0 7 + -1b = 12 + 0 7 + -1b = 12 Add '-7' to each side of the equation. 7 + -7 + -1b = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 12 + -7 -1b = 12 + -7 Combine like terms: 12 + -7 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5
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