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Simplifying 5 + -6 + -3b = 7 + -1b + -12 Combine like terms: 5 + -6 = -1 -1 + -3b = 7 + -1b + -12 Reorder the terms: -1 + -3b = 7 + -12 + -1b Combine like terms: 7 + -12 = -5 -1 + -3b = -5 + -1b Solving -1 + -3b = -5 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -1 + -3b + b = -5 + -1b + b Combine like terms: -3b + b = -2b -1 + -2b = -5 + -1b + b Combine like terms: -1b + b = 0 -1 + -2b = -5 + 0 -1 + -2b = -5 Add '1' to each side of the equation. -1 + 1 + -2b = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -2b = -5 + 1 -2b = -5 + 1 Combine like terms: -5 + 1 = -4 -2b = -4 Divide each side by '-2'. b = 2 Simplifying b = 2
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