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Simplifying 2[4 + (2c + 3)] = 5 + 2(2c + 4) Reorder the terms: 2[4 + (3 + 2c)] = 5 + 2(2c + 4) Remove parenthesis around (3 + 2c) 2[4 + 3 + 2c] = 5 + 2(2c + 4) Combine like terms: 4 + 3 = 7 2[7 + 2c] = 5 + 2(2c + 4) [7 * 2 + 2c * 2] = 5 + 2(2c + 4) [14 + 4c] = 5 + 2(2c + 4) Reorder the terms: 14 + 4c = 5 + 2(4 + 2c) 14 + 4c = 5 + (4 * 2 + 2c * 2) 14 + 4c = 5 + (8 + 4c) Combine like terms: 5 + 8 = 13 14 + 4c = 13 + 4c Add '-4c' to each side of the equation. 14 + 4c + -4c = 13 + 4c + -4c Combine like terms: 4c + -4c = 0 14 + 0 = 13 + 4c + -4c 14 = 13 + 4c + -4c Combine like terms: 4c + -4c = 0 14 = 13 + 0 14 = 13 Solving 14 = 13 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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