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Simplifying 4(b + -3) = 6 + -2b Reorder the terms: 4(-3 + b) = 6 + -2b (-3 * 4 + b * 4) = 6 + -2b (-12 + 4b) = 6 + -2b Solving -12 + 4b = 6 + -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 + 4b + 2b = 6 + -2b + 2b Combine like terms: 4b + 2b = 6b -12 + 6b = 6 + -2b + 2b Combine like terms: -2b + 2b = 0 -12 + 6b = 6 + 0 -12 + 6b = 6 Add '12' to each side of the equation. -12 + 12 + 6b = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 6b = 6 + 12 6b = 6 + 12 Combine like terms: 6 + 12 = 18 6b = 18 Divide each side by '6'. b = 3 Simplifying b = 3
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