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Simplifying 3b + -9 + -2b + -6 = 2b + -3 Reorder the terms: -9 + -6 + 3b + -2b = 2b + -3 Combine like terms: -9 + -6 = -15 -15 + 3b + -2b = 2b + -3 Combine like terms: 3b + -2b = 1b -15 + 1b = 2b + -3 Reorder the terms: -15 + 1b = -3 + 2b Solving -15 + 1b = -3 + 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. -15 + 1b + -2b = -3 + 2b + -2b Combine like terms: 1b + -2b = -1b -15 + -1b = -3 + 2b + -2b Combine like terms: 2b + -2b = 0 -15 + -1b = -3 + 0 -15 + -1b = -3 Add '15' to each side of the equation. -15 + 15 + -1b = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -1b = -3 + 15 -1b = -3 + 15 Combine like terms: -3 + 15 = 12 -1b = 12 Divide each side by '-1'. b = -12 Simplifying b = -12
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