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Simplifying 3b + -4 = -4b + 38 Reorder the terms: -4 + 3b = -4b + 38 Reorder the terms: -4 + 3b = 38 + -4b Solving -4 + 3b = 38 + -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. -4 + 3b + 4b = 38 + -4b + 4b Combine like terms: 3b + 4b = 7b -4 + 7b = 38 + -4b + 4b Combine like terms: -4b + 4b = 0 -4 + 7b = 38 + 0 -4 + 7b = 38 Add '4' to each side of the equation. -4 + 4 + 7b = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 7b = 38 + 4 7b = 38 + 4 Combine like terms: 38 + 4 = 42 7b = 42 Divide each side by '7'. b = 6 Simplifying b = 6
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