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Simplifying 2b + -6(2b + 3) = 12 Reorder the terms: 2b + -6(3 + 2b) = 12 2b + (3 * -6 + 2b * -6) = 12 2b + (-18 + -12b) = 12 Reorder the terms: -18 + 2b + -12b = 12 Combine like terms: 2b + -12b = -10b -18 + -10b = 12 Solving -18 + -10b = 12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -10b = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -10b = 12 + 18 -10b = 12 + 18 Combine like terms: 12 + 18 = 30 -10b = 30 Divide each side by '-10'. b = -3 Simplifying b = -3
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