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Simplifying -3 + -5(1 + 6k) = 21 -3 + (1 * -5 + 6k * -5) = 21 -3 + (-5 + -30k) = 21 Combine like terms: -3 + -5 = -8 -8 + -30k = 21 Solving -8 + -30k = 21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -30k = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -30k = 21 + 8 -30k = 21 + 8 Combine like terms: 21 + 8 = 29 -30k = 29 Divide each side by '-30'. k = -0.9666666667 Simplifying k = -0.9666666667
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