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Simplifying -8(b + 5) = 6(8 + 6b) Reorder the terms: -8(5 + b) = 6(8 + 6b) (5 * -8 + b * -8) = 6(8 + 6b) (-40 + -8b) = 6(8 + 6b) -40 + -8b = (8 * 6 + 6b * 6) -40 + -8b = (48 + 36b) Solving -40 + -8b = 48 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -40 + -8b + -36b = 48 + 36b + -36b Combine like terms: -8b + -36b = -44b -40 + -44b = 48 + 36b + -36b Combine like terms: 36b + -36b = 0 -40 + -44b = 48 + 0 -40 + -44b = 48 Add '40' to each side of the equation. -40 + 40 + -44b = 48 + 40 Combine like terms: -40 + 40 = 0 0 + -44b = 48 + 40 -44b = 48 + 40 Combine like terms: 48 + 40 = 88 -44b = 88 Divide each side by '-44'. b = -2 Simplifying b = -2
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