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Simplifying -33 + 4k = -2(k + -4) + -5 Reorder the terms: -33 + 4k = -2(-4 + k) + -5 -33 + 4k = (-4 * -2 + k * -2) + -5 -33 + 4k = (8 + -2k) + -5 Reorder the terms: -33 + 4k = 8 + -5 + -2k Combine like terms: 8 + -5 = 3 -33 + 4k = 3 + -2k Solving -33 + 4k = 3 + -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 = 3 + -2k + 2k Combine like terms: 4k + 2k = 6k -33 + 6k = 3 + -2k + 2k Combine like terms: -2k + 2k = 0 -33 + 6k = 3 + 0 -33 + 6k = 3 Add '33' to each side of the equation. -33 + 33 + 6k = 3 + 33 Combine like terms: -33 + 33 = 0 0 + 6k = 3 + 33 6k = 3 + 33 Combine like terms: 3 + 33 = 36 6k = 36 Divide each side by '6'. k = 6 Simplifying k = 6
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