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Simplifying -8(4b + 5) = 34 + 5b Reorder the terms: -8(5 + 4b) = 34 + 5b (5 * -8 + 4b * -8) = 34 + 5b (-40 + -32b) = 34 + 5b Solving -40 + -32b = 34 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -40 + -32b + -5b = 34 + 5b + -5b Combine like terms: -32b + -5b = -37b -40 + -37b = 34 + 5b + -5b Combine like terms: 5b + -5b = 0 -40 + -37b = 34 + 0 -40 + -37b = 34 Add '40' to each side of the equation. -40 + 40 + -37b = 34 + 40 Combine like terms: -40 + 40 = 0 0 + -37b = 34 + 40 -37b = 34 + 40 Combine like terms: 34 + 40 = 74 -37b = 74 Divide each side by '-37'. b = -2 Simplifying b = -2
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