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Simplifying 3b + 5 = 4b + -7 Reorder the terms: 5 + 3b = 4b + -7 Reorder the terms: 5 + 3b = -7 + 4b Solving 5 + 3b = -7 + 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. 5 + 3b + -4b = -7 + 4b + -4b Combine like terms: 3b + -4b = -1b 5 + -1b = -7 + 4b + -4b Combine like terms: 4b + -4b = 0 5 + -1b = -7 + 0 5 + -1b = -7 Add '-5' to each side of the equation. 5 + -5 + -1b = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = -7 + -5 -1b = -7 + -5 Combine like terms: -7 + -5 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12
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