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Simplifying -33 + 4k = -2(k + -4) + -4 Reorder the terms: -33 + 4k = -2(-4 + k) + -4 -33 + 4k = (-4 * -2 + k * -2) + -4 -33 + 4k = (8 + -2k) + -4 Reorder the terms: -33 + 4k = 8 + -4 + -2k Combine like terms: 8 + -4 = 4 -33 + 4k = 4 + -2k Solving -33 + 4k = 4 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -33 + 4k + 2k = 4 + -2k + 2k Combine like terms: 4k + 2k = 6k -33 + 6k = 4 + -2k + 2k Combine like terms: -2k + 2k = 0 -33 + 6k = 4 + 0 -33 + 6k = 4 Add '33' to each side of the equation. -33 + 33 + 6k = 4 + 33 Combine like terms: -33 + 33 = 0 0 + 6k = 4 + 33 6k = 4 + 33 Combine like terms: 4 + 33 = 37 6k = 37 Divide each side by '6'. k = 6.166666667 Simplifying k = 6.166666667
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