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Simplifying 5(b + -1) + 3(b + -1) = 4(3 + -1b) + 3(4b + -2) Reorder the terms: 5(-1 + b) + 3(b + -1) = 4(3 + -1b) + 3(4b + -2) (-1 * 5 + b * 5) + 3(b + -1) = 4(3 + -1b) + 3(4b + -2) (-5 + 5b) + 3(b + -1) = 4(3 + -1b) + 3(4b + -2) Reorder the terms: -5 + 5b + 3(-1 + b) = 4(3 + -1b) + 3(4b + -2) -5 + 5b + (-1 * 3 + b * 3) = 4(3 + -1b) + 3(4b + -2) -5 + 5b + (-3 + 3b) = 4(3 + -1b) + 3(4b + -2) Reorder the terms: -5 + -3 + 5b + 3b = 4(3 + -1b) + 3(4b + -2) Combine like terms: -5 + -3 = -8 -8 + 5b + 3b = 4(3 + -1b) + 3(4b + -2) Combine like terms: 5b + 3b = 8b -8 + 8b = 4(3 + -1b) + 3(4b + -2) -8 + 8b = (3 * 4 + -1b * 4) + 3(4b + -2) -8 + 8b = (12 + -4b) + 3(4b + -2) Reorder the terms: -8 + 8b = 12 + -4b + 3(-2 + 4b) -8 + 8b = 12 + -4b + (-2 * 3 + 4b * 3) -8 + 8b = 12 + -4b + (-6 + 12b) Reorder the terms: -8 + 8b = 12 + -6 + -4b + 12b Combine like terms: 12 + -6 = 6 -8 + 8b = 6 + -4b + 12b Combine like terms: -4b + 12b = 8b -8 + 8b = 6 + 8b Add '-8b' to each side of the equation. -8 + 8b + -8b = 6 + 8b + -8b Combine like terms: 8b + -8b = 0 -8 + 0 = 6 + 8b + -8b -8 = 6 + 8b + -8b Combine like terms: 8b + -8b = 0 -8 = 6 + 0 -8 = 6 Solving -8 = 6 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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