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Simplifying 4(k + -6) + -1(4 + -9k) = 12k Reorder the terms: 4(-6 + k) + -1(4 + -9k) = 12k (-6 * 4 + k * 4) + -1(4 + -9k) = 12k (-24 + 4k) + -1(4 + -9k) = 12k -24 + 4k + (4 * -1 + -9k * -1) = 12k -24 + 4k + (-4 + 9k) = 12k Reorder the terms: -24 + -4 + 4k + 9k = 12k Combine like terms: -24 + -4 = -28 -28 + 4k + 9k = 12k Combine like terms: 4k + 9k = 13k -28 + 13k = 12k Solving -28 + 13k = 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -28 + 13k + -12k = 12k + -12k Combine like terms: 13k + -12k = 1k -28 + 1k = 12k + -12k Combine like terms: 12k + -12k = 0 -28 + 1k = 0 Add '28' to each side of the equation. -28 + 28 + 1k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1k = 0 + 28 1k = 0 + 28 Combine like terms: 0 + 28 = 28 1k = 28 Divide each side by '1'. k = 28 Simplifying k = 28
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