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Simplifying -5(-8t + -8 + 7b) = 0 Reorder the terms: -5(-8 + 7b + -8t) = 0 (-8 * -5 + 7b * -5 + -8t * -5) = 0 (40 + -35b + 40t) = 0 Solving 40 + -35b + 40t = 0 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 + -35b + -40 + 40t = 0 + -40 Reorder the terms: 40 + -40 + -35b + 40t = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -35b + 40t = 0 + -40 -35b + 40t = 0 + -40 Combine like terms: 0 + -40 = -40 -35b + 40t = -40 Add '-40t' to each side of the equation. -35b + 40t + -40t = -40 + -40t Combine like terms: 40t + -40t = 0 -35b + 0 = -40 + -40t -35b = -40 + -40t Divide each side by '-35'. b = 1.142857143 + 1.142857143t Simplifying b = 1.142857143 + 1.142857143t
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