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