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Simplifying -13 + k = -3(k + 7) + 4 Reorder the terms: -13 + k = -3(7 + k) + 4 -13 + k = (7 * -3 + k * -3) + 4 -13 + k = (-21 + -3k) + 4 Reorder the terms: -13 + k = -21 + 4 + -3k Combine like terms: -21 + 4 = -17 -13 + k = -17 + -3k Solving -13 + k = -17 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -13 + k + 3k = -17 + -3k + 3k Combine like terms: k + 3k = 4k -13 + 4k = -17 + -3k + 3k Combine like terms: -3k + 3k = 0 -13 + 4k = -17 + 0 -13 + 4k = -17 Add '13' to each side of the equation. -13 + 13 + 4k = -17 + 13 Combine like terms: -13 + 13 = 0 0 + 4k = -17 + 13 4k = -17 + 13 Combine like terms: -17 + 13 = -4 4k = -4 Divide each side by '4'. k = -1 Simplifying k = -1
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