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Simplifying 12 + 3b = -6 + -1(3b + 6) Reorder the terms: 12 + 3b = -6 + -1(6 + 3b) 12 + 3b = -6 + (6 * -1 + 3b * -1) 12 + 3b = -6 + (-6 + -3b) Combine like terms: -6 + -6 = -12 12 + 3b = -12 + -3b Solving 12 + 3b = -12 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 12 + 3b + 3b = -12 + -3b + 3b Combine like terms: 3b + 3b = 6b 12 + 6b = -12 + -3b + 3b Combine like terms: -3b + 3b = 0 12 + 6b = -12 + 0 12 + 6b = -12 Add '-12' to each side of the equation. 12 + -12 + 6b = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6b = -12 + -12 6b = -12 + -12 Combine like terms: -12 + -12 = -24 6b = -24 Divide each side by '6'. b = -4 Simplifying b = -4
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