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Simplifying 3(-6 + -4k) + -4(5 + -1k) = -46 (-6 * 3 + -4k * 3) + -4(5 + -1k) = -46 (-18 + -12k) + -4(5 + -1k) = -46 -18 + -12k + (5 * -4 + -1k * -4) = -46 -18 + -12k + (-20 + 4k) = -46 Reorder the terms: -18 + -20 + -12k + 4k = -46 Combine like terms: -18 + -20 = -38 -38 + -12k + 4k = -46 Combine like terms: -12k + 4k = -8k -38 + -8k = -46 Solving -38 + -8k = -46 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -8k = -46 + 38 Combine like terms: -38 + 38 = 0 0 + -8k = -46 + 38 -8k = -46 + 38 Combine like terms: -46 + 38 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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