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Simplifying 4 + 4(2 + -4b) = -52 4 + (2 * 4 + -4b * 4) = -52 4 + (8 + -16b) = -52 Combine like terms: 4 + 8 = 12 12 + -16b = -52 Solving 12 + -16b = -52 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 + -16b = -52 + -12 Combine like terms: 12 + -12 = 0 0 + -16b = -52 + -12 -16b = -52 + -12 Combine like terms: -52 + -12 = -64 -16b = -64 Divide each side by '-16'. b = 4 Simplifying b = 4
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