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Simplifying 0.006(7 + -1k) + 0.08(k + -4) = 1 (7 * 0.006 + -1k * 0.006) + 0.08(k + -4) = 1 (0.042 + -0.006k) + 0.08(k + -4) = 1 Reorder the terms: 0.042 + -0.006k + 0.08(-4 + k) = 1 0.042 + -0.006k + (-4 * 0.08 + k * 0.08) = 1 0.042 + -0.006k + (-0.32 + 0.08k) = 1 Reorder the terms: 0.042 + -0.32 + -0.006k + 0.08k = 1 Combine like terms: 0.042 + -0.32 = -0.278 -0.278 + -0.006k + 0.08k = 1 Combine like terms: -0.006k + 0.08k = 0.074k -0.278 + 0.074k = 1 Solving -0.278 + 0.074k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.278' to each side of the equation. -0.278 + 0.278 + 0.074k = 1 + 0.278 Combine like terms: -0.278 + 0.278 = 0.000 0.000 + 0.074k = 1 + 0.278 0.074k = 1 + 0.278 Combine like terms: 1 + 0.278 = 1.278 0.074k = 1.278 Divide each side by '0.074'. k = 17.27027027 Simplifying k = 17.27027027
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