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Simplifying 3b + 3 + 9b + -15 = 36 + 4b Reorder the terms: 3 + -15 + 3b + 9b = 36 + 4b Combine like terms: 3 + -15 = -12 -12 + 3b + 9b = 36 + 4b Combine like terms: 3b + 9b = 12b -12 + 12b = 36 + 4b Solving -12 + 12b = 36 + 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. -12 + 12b + -4b = 36 + 4b + -4b Combine like terms: 12b + -4b = 8b -12 + 8b = 36 + 4b + -4b Combine like terms: 4b + -4b = 0 -12 + 8b = 36 + 0 -12 + 8b = 36 Add '12' to each side of the equation. -12 + 12 + 8b = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 8b = 36 + 12 8b = 36 + 12 Combine like terms: 36 + 12 = 48 8b = 48 Divide each side by '8'. b = 6 Simplifying b = 6
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