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Simplifying 5(-8 + -4b) = 4(8b + 16) (-8 * 5 + -4b * 5) = 4(8b + 16) (-40 + -20b) = 4(8b + 16) Reorder the terms: -40 + -20b = 4(16 + 8b) -40 + -20b = (16 * 4 + 8b * 4) -40 + -20b = (64 + 32b) Solving -40 + -20b = 64 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. -40 + -20b + -32b = 64 + 32b + -32b Combine like terms: -20b + -32b = -52b -40 + -52b = 64 + 32b + -32b Combine like terms: 32b + -32b = 0 -40 + -52b = 64 + 0 -40 + -52b = 64 Add '40' to each side of the equation. -40 + 40 + -52b = 64 + 40 Combine like terms: -40 + 40 = 0 0 + -52b = 64 + 40 -52b = 64 + 40 Combine like terms: 64 + 40 = 104 -52b = 104 Divide each side by '-52'. b = -2 Simplifying b = -2
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