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Simplifying -13 = k + -1(-16) Multiply -1 * -16 -13 = k + 16 Reorder the terms: -13 = 16 + k Solving -13 = 16 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -13 + -1k = 16 + k + -1k Combine like terms: k + -1k = 0 -13 + -1k = 16 + 0 -13 + -1k = 16 Add '13' to each side of the equation. -13 + 13 + -1k = 16 + 13 Combine like terms: -13 + 13 = 0 0 + -1k = 16 + 13 -1k = 16 + 13 Combine like terms: 16 + 13 = 29 -1k = 29 Divide each side by '-1'. k = -29 Simplifying k = -29
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