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Simplifying -6(5k + -3) + 2k = 4k + 21 Reorder the terms: -6(-3 + 5k) + 2k = 4k + 21 (-3 * -6 + 5k * -6) + 2k = 4k + 21 (18 + -30k) + 2k = 4k + 21 Combine like terms: -30k + 2k = -28k 18 + -28k = 4k + 21 Reorder the terms: 18 + -28k = 21 + 4k Solving 18 + -28k = 21 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 18 + -28k + -4k = 21 + 4k + -4k Combine like terms: -28k + -4k = -32k 18 + -32k = 21 + 4k + -4k Combine like terms: 4k + -4k = 0 18 + -32k = 21 + 0 18 + -32k = 21 Add '-18' to each side of the equation. 18 + -18 + -32k = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -32k = 21 + -18 -32k = 21 + -18 Combine like terms: 21 + -18 = 3 -32k = 3 Divide each side by '-32'. k = -0.09375 Simplifying k = -0.09375
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