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