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Simplifying -2(3b + -4) + 6(1 + 2b) = -4 Reorder the terms: -2(-4 + 3b) + 6(1 + 2b) = -4 (-4 * -2 + 3b * -2) + 6(1 + 2b) = -4 (8 + -6b) + 6(1 + 2b) = -4 8 + -6b + (1 * 6 + 2b * 6) = -4 8 + -6b + (6 + 12b) = -4 Reorder the terms: 8 + 6 + -6b + 12b = -4 Combine like terms: 8 + 6 = 14 14 + -6b + 12b = -4 Combine like terms: -6b + 12b = 6b 14 + 6b = -4 Solving 14 + 6b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6b = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 6b = -4 + -14 6b = -4 + -14 Combine like terms: -4 + -14 = -18 6b = -18 Divide each side by '6'. b = -3 Simplifying b = -3
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