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Simplifying -4b + 8(2b + -5) = -16 Reorder the terms: -4b + 8(-5 + 2b) = -16 -4b + (-5 * 8 + 2b * 8) = -16 -4b + (-40 + 16b) = -16 Reorder the terms: -40 + -4b + 16b = -16 Combine like terms: -4b + 16b = 12b -40 + 12b = -16 Solving -40 + 12b = -16 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 12b = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 12b = -16 + 40 12b = -16 + 40 Combine like terms: -16 + 40 = 24 12b = 24 Divide each side by '12'. b = 2 Simplifying b = 2
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