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Simplifying -33 + 4k = 6 + 5(4k + 5) Reorder the terms: -33 + 4k = 6 + 5(5 + 4k) -33 + 4k = 6 + (5 * 5 + 4k * 5) -33 + 4k = 6 + (25 + 20k) Combine like terms: 6 + 25 = 31 -33 + 4k = 31 + 20k Solving -33 + 4k = 31 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -33 + 4k + -20k = 31 + 20k + -20k Combine like terms: 4k + -20k = -16k -33 + -16k = 31 + 20k + -20k Combine like terms: 20k + -20k = 0 -33 + -16k = 31 + 0 -33 + -16k = 31 Add '33' to each side of the equation. -33 + 33 + -16k = 31 + 33 Combine like terms: -33 + 33 = 0 0 + -16k = 31 + 33 -16k = 31 + 33 Combine like terms: 31 + 33 = 64 -16k = 64 Divide each side by '-16'. k = -4 Simplifying k = -4
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