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Simplifying 3b + -15 = 4b + 32 Reorder the terms: -15 + 3b = 4b + 32 Reorder the terms: -15 + 3b = 32 + 4b Solving -15 + 3b = 32 + 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. -15 + 3b + -4b = 32 + 4b + -4b Combine like terms: 3b + -4b = -1b -15 + -1b = 32 + 4b + -4b Combine like terms: 4b + -4b = 0 -15 + -1b = 32 + 0 -15 + -1b = 32 Add '15' to each side of the equation. -15 + 15 + -1b = 32 + 15 Combine like terms: -15 + 15 = 0 0 + -1b = 32 + 15 -1b = 32 + 15 Combine like terms: 32 + 15 = 47 -1b = 47 Divide each side by '-1'. b = -47 Simplifying b = -47
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