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Simplifying -6(4b + -2) + 8b = -84 Reorder the terms: -6(-2 + 4b) + 8b = -84 (-2 * -6 + 4b * -6) + 8b = -84 (12 + -24b) + 8b = -84 Combine like terms: -24b + 8b = -16b 12 + -16b = -84 Solving 12 + -16b = -84 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 = -84 + -12 Combine like terms: 12 + -12 = 0 0 + -16b = -84 + -12 -16b = -84 + -12 Combine like terms: -84 + -12 = -96 -16b = -96 Divide each side by '-16'. b = 6 Simplifying b = 6
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