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Simplifying -1[2k + -1(4k + 9)] = 2 + (2k + 7) Reorder the terms: -1[2k + -1(9 + 4k)] = 2 + (2k + 7) -1[2k + (9 * -1 + 4k * -1)] = 2 + (2k + 7) -1[2k + (-9 + -4k)] = 2 + (2k + 7) Reorder the terms: -1[-9 + 2k + -4k] = 2 + (2k + 7) Combine like terms: 2k + -4k = -2k -1[-9 + -2k] = 2 + (2k + 7) [-9 * -1 + -2k * -1] = 2 + (2k + 7) [9 + 2k] = 2 + (2k + 7) Reorder the terms: 9 + 2k = 2 + (7 + 2k) Remove parenthesis around (7 + 2k) 9 + 2k = 2 + 7 + 2k Combine like terms: 2 + 7 = 9 9 + 2k = 9 + 2k Add '-9' to each side of the equation. 9 + -9 + 2k = 9 + -9 + 2k Combine like terms: 9 + -9 = 0 0 + 2k = 9 + -9 + 2k 2k = 9 + -9 + 2k Combine like terms: 9 + -9 = 0 2k = 0 + 2k 2k = 2k Add '-2k' to each side of the equation. 2k + -2k = 2k + -2k Combine like terms: 2k + -2k = 0 0 = 2k + -2k Combine like terms: 2k + -2k = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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