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Simplifying 3(k + -4) = (4k + -1) Reorder the terms: 3(-4 + k) = (4k + -1) (-4 * 3 + k * 3) = (4k + -1) (-12 + 3k) = (4k + -1) Reorder the terms: -12 + 3k = (-1 + 4k) Remove parenthesis around (-1 + 4k) -12 + 3k = -1 + 4k Solving -12 + 3k = -1 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -12 + 3k + -4k = -1 + 4k + -4k Combine like terms: 3k + -4k = -1k -12 + -1k = -1 + 4k + -4k Combine like terms: 4k + -4k = 0 -12 + -1k = -1 + 0 -12 + -1k = -1 Add '12' to each side of the equation. -12 + 12 + -1k = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -1k = -1 + 12 -1k = -1 + 12 Combine like terms: -1 + 12 = 11 -1k = 11 Divide each side by '-1'. k = -11 Simplifying k = -11
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