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Simplifying 12 + 7b = 8(4 + 2b) + -3(1 + 3b) 12 + 7b = (4 * 8 + 2b * 8) + -3(1 + 3b) 12 + 7b = (32 + 16b) + -3(1 + 3b) 12 + 7b = 32 + 16b + (1 * -3 + 3b * -3) 12 + 7b = 32 + 16b + (-3 + -9b) Reorder the terms: 12 + 7b = 32 + -3 + 16b + -9b Combine like terms: 32 + -3 = 29 12 + 7b = 29 + 16b + -9b Combine like terms: 16b + -9b = 7b 12 + 7b = 29 + 7b Add '-7b' to each side of the equation. 12 + 7b + -7b = 29 + 7b + -7b Combine like terms: 7b + -7b = 0 12 + 0 = 29 + 7b + -7b 12 = 29 + 7b + -7b Combine like terms: 7b + -7b = 0 12 = 29 + 0 12 = 29 Solving 12 = 29 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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