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Simplifying -1z + 5k6 + -1(-1z3 + 10k6) = 0 Reorder the terms: -1z + 5k6 + -1(10k6 + -1z3) = 0 -1z + 5k6 + (10k6 * -1 + -1z3 * -1) = 0 -1z + 5k6 + (-10k6 + 1z3) = 0 Reorder the terms: 5k6 + -10k6 + -1z + 1z3 = 0 Combine like terms: 5k6 + -10k6 = -5k6 -5k6 + -1z + 1z3 = 0 Solving -5k6 + -1z + 1z3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'z' to each side of the equation. -5k6 + -1z + z + 1z3 = 0 + z Combine like terms: -1z + z = 0 -5k6 + 0 + 1z3 = 0 + z -5k6 + 1z3 = 0 + z Remove the zero: -5k6 + 1z3 = z Add '-1z3' to each side of the equation. -5k6 + 1z3 + -1z3 = z + -1z3 Combine like terms: 1z3 + -1z3 = 0 -5k6 + 0 = z + -1z3 -5k6 = z + -1z3 Divide each side by '-5'. k6 = -0.2z + 0.2z3 Simplifying k6 = -0.2z + 0.2z3 Reorder the terms: k6 + 0.2z + -0.2z3 = -0.2z + 0.2z + 0.2z3 + -0.2z3 Combine like terms: -0.2z + 0.2z = 0.0 k6 + 0.2z + -0.2z3 = 0.0 + 0.2z3 + -0.2z3 k6 + 0.2z + -0.2z3 = 0.2z3 + -0.2z3 Combine like terms: 0.2z3 + -0.2z3 = 0.0 k6 + 0.2z + -0.2z3 = 0.0 The solution to this equation could not be determined.
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