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Simplifying 40(b + -1) + 5 = 5(8b + -7) Reorder the terms: 40(-1 + b) + 5 = 5(8b + -7) (-1 * 40 + b * 40) + 5 = 5(8b + -7) (-40 + 40b) + 5 = 5(8b + -7) Reorder the terms: -40 + 5 + 40b = 5(8b + -7) Combine like terms: -40 + 5 = -35 -35 + 40b = 5(8b + -7) Reorder the terms: -35 + 40b = 5(-7 + 8b) -35 + 40b = (-7 * 5 + 8b * 5) -35 + 40b = (-35 + 40b) Add '35' to each side of the equation. -35 + 35 + 40b = -35 + 35 + 40b Combine like terms: -35 + 35 = 0 0 + 40b = -35 + 35 + 40b 40b = -35 + 35 + 40b Combine like terms: -35 + 35 = 0 40b = 0 + 40b 40b = 40b Add '-40b' to each side of the equation. 40b + -40b = 40b + -40b Combine like terms: 40b + -40b = 0 0 = 40b + -40b Combine like terms: 40b + -40b = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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