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Simplifying 4(b + 3) + -6b = 12 + 6b Reorder the terms: 4(3 + b) + -6b = 12 + 6b (3 * 4 + b * 4) + -6b = 12 + 6b (12 + 4b) + -6b = 12 + 6b Combine like terms: 4b + -6b = -2b 12 + -2b = 12 + 6b Add '-12' to each side of the equation. 12 + -12 + -2b = 12 + -12 + 6b Combine like terms: 12 + -12 = 0 0 + -2b = 12 + -12 + 6b -2b = 12 + -12 + 6b Combine like terms: 12 + -12 = 0 -2b = 0 + 6b -2b = 6b Solving -2b = 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -2b + -6b = 6b + -6b Combine like terms: -2b + -6b = -8b -8b = 6b + -6b Combine like terms: 6b + -6b = 0 -8b = 0 Divide each side by '-8'. b = 0 Simplifying b = 0
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