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Simplifying -28 = 7(4k + -4) + 6k Reorder the terms: -28 = 7(-4 + 4k) + 6k -28 = (-4 * 7 + 4k * 7) + 6k -28 = (-28 + 28k) + 6k Combine like terms: 28k + 6k = 34k -28 = -28 + 34k Add '28' to each side of the equation. -28 + 28 = -28 + 28 + 34k Combine like terms: -28 + 28 = 0 0 = -28 + 28 + 34k Combine like terms: -28 + 28 = 0 0 = 0 + 34k 0 = 34k Solving 0 = 34k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34k' to each side of the equation. 0 + -34k = 34k + -34k Remove the zero: -34k = 34k + -34k Combine like terms: 34k + -34k = 0 -34k = 0 Divide each side by '-34'. k = 0 Simplifying k = 0
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