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Simplifying (-6b) + 12 = (-4) + (2b) Reorder the terms: 12 + (-6b) = (-4) + (2b) 12 + (-6b) = -4 + (2b) Solving 12 + (-6b) = -4 + (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 + (-6b) + (-2b) = -4 + (2b) + (-2b) Combine like terms: (-6b) + (-2b) = -8b 12 + -8b = -4 + (2b) + (-2b) Combine like terms: (2b) + (-2b) = 0 12 + -8b = -4 + 0 12 + -8b = -4 Add '-12' to each side of the equation. 12 + -12 + -8b = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -8b = -4 + -12 -8b = -4 + -12 Combine like terms: -4 + -12 = -16 -8b = -16 Divide each side by '-8'. b = 2 Simplifying b = 2
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