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Simplifying 5b + -12 = 2b + 15 Reorder the terms: -12 + 5b = 2b + 15 Reorder the terms: -12 + 5b = 15 + 2b Solving -12 + 5b = 15 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -12 + 5b + -2b = 15 + 2b + -2b Combine like terms: 5b + -2b = 3b -12 + 3b = 15 + 2b + -2b Combine like terms: 2b + -2b = 0 -12 + 3b = 15 + 0 -12 + 3b = 15 Add '12' to each side of the equation. -12 + 12 + 3b = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3b = 15 + 12 3b = 15 + 12 Combine like terms: 15 + 12 = 27 3b = 27 Divide each side by '3'. b = 9 Simplifying b = 9
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