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Simplifying 7(b + 3) + -5(b + -3) = 2(b + -20) + -4 Reorder the terms: 7(3 + b) + -5(b + -3) = 2(b + -20) + -4 (3 * 7 + b * 7) + -5(b + -3) = 2(b + -20) + -4 (21 + 7b) + -5(b + -3) = 2(b + -20) + -4 Reorder the terms: 21 + 7b + -5(-3 + b) = 2(b + -20) + -4 21 + 7b + (-3 * -5 + b * -5) = 2(b + -20) + -4 21 + 7b + (15 + -5b) = 2(b + -20) + -4 Reorder the terms: 21 + 15 + 7b + -5b = 2(b + -20) + -4 Combine like terms: 21 + 15 = 36 36 + 7b + -5b = 2(b + -20) + -4 Combine like terms: 7b + -5b = 2b 36 + 2b = 2(b + -20) + -4 Reorder the terms: 36 + 2b = 2(-20 + b) + -4 36 + 2b = (-20 * 2 + b * 2) + -4 36 + 2b = (-40 + 2b) + -4 Reorder the terms: 36 + 2b = -40 + -4 + 2b Combine like terms: -40 + -4 = -44 36 + 2b = -44 + 2b Add '-2b' to each side of the equation. 36 + 2b + -2b = -44 + 2b + -2b Combine like terms: 2b + -2b = 0 36 + 0 = -44 + 2b + -2b 36 = -44 + 2b + -2b Combine like terms: 2b + -2b = 0 36 = -44 + 0 36 = -44 Solving 36 = -44 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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