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Simplifying 3b + -5 = 4b + 2 Reorder the terms: -5 + 3b = 4b + 2 Reorder the terms: -5 + 3b = 2 + 4b Solving -5 + 3b = 2 + 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 = 2 + 4b + -4b Combine like terms: 3b + -4b = -1b -5 + -1b = 2 + 4b + -4b Combine like terms: 4b + -4b = 0 -5 + -1b = 2 + 0 -5 + -1b = 2 Add '5' to each side of the equation. -5 + 5 + -1b = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = 2 + 5 -1b = 2 + 5 Combine like terms: 2 + 5 = 7 -1b = 7 Divide each side by '-1'. b = -7 Simplifying b = -7
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