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Simplifying 0.3 + -1(0.9 + 9k) = 0 0.3 + (0.9 * -1 + 9k * -1) = 0 0.3 + (-0.9 + -9k) = 0 Combine like terms: 0.3 + -0.9 = -0.6 -0.6 + -9k = 0 Solving -0.6 + -9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + -9k = 0 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -9k = 0 + 0.6 -9k = 0 + 0.6 Combine like terms: 0 + 0.6 = 0.6 -9k = 0.6 Divide each side by '-9'. k = -0.06666666667 Simplifying k = -0.06666666667
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