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Simplifying -2(6b + 8) = -8(1 + 2b) + 8b Reorder the terms: -2(8 + 6b) = -8(1 + 2b) + 8b (8 * -2 + 6b * -2) = -8(1 + 2b) + 8b (-16 + -12b) = -8(1 + 2b) + 8b -16 + -12b = (1 * -8 + 2b * -8) + 8b -16 + -12b = (-8 + -16b) + 8b Combine like terms: -16b + 8b = -8b -16 + -12b = -8 + -8b Solving -16 + -12b = -8 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -16 + -12b + 8b = -8 + -8b + 8b Combine like terms: -12b + 8b = -4b -16 + -4b = -8 + -8b + 8b Combine like terms: -8b + 8b = 0 -16 + -4b = -8 + 0 -16 + -4b = -8 Add '16' to each side of the equation. -16 + 16 + -4b = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -4b = -8 + 16 -4b = -8 + 16 Combine like terms: -8 + 16 = 8 -4b = 8 Divide each side by '-4'. b = -2 Simplifying b = -2
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