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Simplifying 3(-1k + -4) + 6 = k + 7 Reorder the terms: 3(-4 + -1k) + 6 = k + 7 (-4 * 3 + -1k * 3) + 6 = k + 7 (-12 + -3k) + 6 = k + 7 Reorder the terms: -12 + 6 + -3k = k + 7 Combine like terms: -12 + 6 = -6 -6 + -3k = k + 7 Reorder the terms: -6 + -3k = 7 + k Solving -6 + -3k = 7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -6 + -3k + -1k = 7 + k + -1k Combine like terms: -3k + -1k = -4k -6 + -4k = 7 + k + -1k Combine like terms: k + -1k = 0 -6 + -4k = 7 + 0 -6 + -4k = 7 Add '6' to each side of the equation. -6 + 6 + -4k = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -4k = 7 + 6 -4k = 7 + 6 Combine like terms: 7 + 6 = 13 -4k = 13 Divide each side by '-4'. k = -3.25 Simplifying k = -3.25
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