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Simplifying 13k + -22 = 16k + -37 Reorder the terms: -22 + 13k = 16k + -37 Reorder the terms: -22 + 13k = -37 + 16k Solving -22 + 13k = -37 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -22 + 13k + -16k = -37 + 16k + -16k Combine like terms: 13k + -16k = -3k -22 + -3k = -37 + 16k + -16k Combine like terms: 16k + -16k = 0 -22 + -3k = -37 + 0 -22 + -3k = -37 Add '22' to each side of the equation. -22 + 22 + -3k = -37 + 22 Combine like terms: -22 + 22 = 0 0 + -3k = -37 + 22 -3k = -37 + 22 Combine like terms: -37 + 22 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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