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Simplifying 5b + -8(4b + 5) = 176 Reorder the terms: 5b + -8(5 + 4b) = 176 5b + (5 * -8 + 4b * -8) = 176 5b + (-40 + -32b) = 176 Reorder the terms: -40 + 5b + -32b = 176 Combine like terms: 5b + -32b = -27b -40 + -27b = 176 Solving -40 + -27b = 176 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 + -27b = 176 + 40 Combine like terms: -40 + 40 = 0 0 + -27b = 176 + 40 -27b = 176 + 40 Combine like terms: 176 + 40 = 216 -27b = 216 Divide each side by '-27'. b = -8 Simplifying b = -8
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