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Simplifying 8(k + -3) + -1(4k + -6) = 3k Reorder the terms: 8(-3 + k) + -1(4k + -6) = 3k (-3 * 8 + k * 8) + -1(4k + -6) = 3k (-24 + 8k) + -1(4k + -6) = 3k Reorder the terms: -24 + 8k + -1(-6 + 4k) = 3k -24 + 8k + (-6 * -1 + 4k * -1) = 3k -24 + 8k + (6 + -4k) = 3k Reorder the terms: -24 + 6 + 8k + -4k = 3k Combine like terms: -24 + 6 = -18 -18 + 8k + -4k = 3k Combine like terms: 8k + -4k = 4k -18 + 4k = 3k Solving -18 + 4k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -18 + 4k + -3k = 3k + -3k Combine like terms: 4k + -3k = 1k -18 + 1k = 3k + -3k Combine like terms: 3k + -3k = 0 -18 + 1k = 0 Add '18' to each side of the equation. -18 + 18 + 1k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1k = 0 + 18 1k = 0 + 18 Combine like terms: 0 + 18 = 18 1k = 18 Divide each side by '1'. k = 18 Simplifying k = 18
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