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Simplifying 13 + -18 + -6k = 6(1 + 3) * k Combine like terms: 13 + -18 = -5 -5 + -6k = 6(1 + 3) * k Combine like terms: 1 + 3 = 4 -5 + -6k = 6(4) * k Multiply 6 * 4 -5 + -6k = 24k Solving -5 + -6k = 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -5 + -6k + -24k = 24k + -24k Combine like terms: -6k + -24k = -30k -5 + -30k = 24k + -24k Combine like terms: 24k + -24k = 0 -5 + -30k = 0 Add '5' to each side of the equation. -5 + 5 + -30k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -30k = 0 + 5 -30k = 0 + 5 Combine like terms: 0 + 5 = 5 -30k = 5 Divide each side by '-30'. k = -0.1666666667 Simplifying k = -0.1666666667
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