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Simplifying b + -14 + 2b + 21 = 16 + 2(4b + -6) + -5b Reorder the terms: -14 + 21 + b + 2b = 16 + 2(4b + -6) + -5b Combine like terms: -14 + 21 = 7 7 + b + 2b = 16 + 2(4b + -6) + -5b Combine like terms: b + 2b = 3b 7 + 3b = 16 + 2(4b + -6) + -5b Reorder the terms: 7 + 3b = 16 + 2(-6 + 4b) + -5b 7 + 3b = 16 + (-6 * 2 + 4b * 2) + -5b 7 + 3b = 16 + (-12 + 8b) + -5b Combine like terms: 16 + -12 = 4 7 + 3b = 4 + 8b + -5b Combine like terms: 8b + -5b = 3b 7 + 3b = 4 + 3b Add '-3b' to each side of the equation. 7 + 3b + -3b = 4 + 3b + -3b Combine like terms: 3b + -3b = 0 7 + 0 = 4 + 3b + -3b 7 = 4 + 3b + -3b Combine like terms: 3b + -3b = 0 7 = 4 + 0 7 = 4 Solving 7 = 4 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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