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Simplifying -2(-5 + 4b) = -6b + 8(b + -5) (-5 * -2 + 4b * -2) = -6b + 8(b + -5) (10 + -8b) = -6b + 8(b + -5) Reorder the terms: 10 + -8b = -6b + 8(-5 + b) 10 + -8b = -6b + (-5 * 8 + b * 8) 10 + -8b = -6b + (-40 + 8b) Reorder the terms: 10 + -8b = -40 + -6b + 8b Combine like terms: -6b + 8b = 2b 10 + -8b = -40 + 2b Solving 10 + -8b = -40 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 10 + -8b + -2b = -40 + 2b + -2b Combine like terms: -8b + -2b = -10b 10 + -10b = -40 + 2b + -2b Combine like terms: 2b + -2b = 0 10 + -10b = -40 + 0 10 + -10b = -40 Add '-10' to each side of the equation. 10 + -10 + -10b = -40 + -10 Combine like terms: 10 + -10 = 0 0 + -10b = -40 + -10 -10b = -40 + -10 Combine like terms: -40 + -10 = -50 -10b = -50 Divide each side by '-10'. b = 5 Simplifying b = 5
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