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Simplifying -6k + -28 = -2(1 + 5k) + 6 Reorder the terms: -28 + -6k = -2(1 + 5k) + 6 -28 + -6k = (1 * -2 + 5k * -2) + 6 -28 + -6k = (-2 + -10k) + 6 Reorder the terms: -28 + -6k = -2 + 6 + -10k Combine like terms: -2 + 6 = 4 -28 + -6k = 4 + -10k Solving -28 + -6k = 4 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -28 + -6k + 10k = 4 + -10k + 10k Combine like terms: -6k + 10k = 4k -28 + 4k = 4 + -10k + 10k Combine like terms: -10k + 10k = 0 -28 + 4k = 4 + 0 -28 + 4k = 4 Add '28' to each side of the equation. -28 + 28 + 4k = 4 + 28 Combine like terms: -28 + 28 = 0 0 + 4k = 4 + 28 4k = 4 + 28 Combine like terms: 4 + 28 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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