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Simplifying 4(k + -6) + -1(8 + 6k) = -3k Reorder the terms: 4(-6 + k) + -1(8 + 6k) = -3k (-6 * 4 + k * 4) + -1(8 + 6k) = -3k (-24 + 4k) + -1(8 + 6k) = -3k -24 + 4k + (8 * -1 + 6k * -1) = -3k -24 + 4k + (-8 + -6k) = -3k Reorder the terms: -24 + -8 + 4k + -6k = -3k Combine like terms: -24 + -8 = -32 -32 + 4k + -6k = -3k Combine like terms: 4k + -6k = -2k -32 + -2k = -3k Solving -32 + -2k = -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. -32 + -2k + 3k = -3k + 3k Combine like terms: -2k + 3k = 1k -32 + 1k = -3k + 3k Combine like terms: -3k + 3k = 0 -32 + 1k = 0 Add '32' to each side of the equation. -32 + 32 + 1k = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1k = 0 + 32 1k = 0 + 32 Combine like terms: 0 + 32 = 32 1k = 32 Divide each side by '1'. k = 32 Simplifying k = 32
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