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Simplifying 7(b + -3) + 8b = 5(3b + -5) Reorder the terms: 7(-3 + b) + 8b = 5(3b + -5) (-3 * 7 + b * 7) + 8b = 5(3b + -5) (-21 + 7b) + 8b = 5(3b + -5) Combine like terms: 7b + 8b = 15b -21 + 15b = 5(3b + -5) Reorder the terms: -21 + 15b = 5(-5 + 3b) -21 + 15b = (-5 * 5 + 3b * 5) -21 + 15b = (-25 + 15b) Add '-15b' to each side of the equation. -21 + 15b + -15b = -25 + 15b + -15b Combine like terms: 15b + -15b = 0 -21 + 0 = -25 + 15b + -15b -21 = -25 + 15b + -15b Combine like terms: 15b + -15b = 0 -21 = -25 + 0 -21 = -25 Solving -21 = -25 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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