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Simplifying 15b + -8 = 31b + 21 Reorder the terms: -8 + 15b = 31b + 21 Reorder the terms: -8 + 15b = 21 + 31b Solving -8 + 15b = 21 + 31b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-31b' to each side of the equation. -8 + 15b + -31b = 21 + 31b + -31b Combine like terms: 15b + -31b = -16b -8 + -16b = 21 + 31b + -31b Combine like terms: 31b + -31b = 0 -8 + -16b = 21 + 0 -8 + -16b = 21 Add '8' to each side of the equation. -8 + 8 + -16b = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -16b = 21 + 8 -16b = 21 + 8 Combine like terms: 21 + 8 = 29 -16b = 29 Divide each side by '-16'. b = -1.8125 Simplifying b = -1.8125
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