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Simplifying k(t + -1) + -1s(2 + -1t) = k + s Reorder the terms: k(-1 + t) + -1s(2 + -1t) = k + s (-1 * k + t * k) + -1s(2 + -1t) = k + s (-1k + kt) + -1s(2 + -1t) = k + s -1k + kt + (2 * -1s + -1t * -1s) = k + s -1k + kt + (-2s + 1st) = k + s Solving -1k + kt + -2s + 1st = k + s Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -1k + kt + -2s + -1k + 1st = k + -1k + s Reorder the terms: -1k + -1k + kt + -2s + 1st = k + -1k + s Combine like terms: -1k + -1k = -2k -2k + kt + -2s + 1st = k + -1k + s Combine like terms: k + -1k = 0 -2k + kt + -2s + 1st = 0 + s -2k + kt + -2s + 1st = s Add '2s' to each side of the equation. -2k + kt + -2s + 2s + 1st = s + 2s Combine like terms: -2s + 2s = 0 -2k + kt + 0 + 1st = s + 2s -2k + kt + 1st = s + 2s Combine like terms: s + 2s = 3s -2k + kt + 1st = 3s Add '-1st' to each side of the equation. -2k + kt + 1st + -1st = 3s + -1st Combine like terms: 1st + -1st = 0 -2k + kt + 0 = 3s + -1st -2k + kt = 3s + -1st Reorder the terms: -2k + kt + -3s + st = 3s + -3s + -1st + st Combine like terms: 3s + -3s = 0 -2k + kt + -3s + st = 0 + -1st + st -2k + kt + -3s + st = -1st + st Combine like terms: -1st + st = 0 -2k + kt + -3s + st = 0 The solution to this equation could not be determined.
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