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Simplifying -6k + -20 = -8k + 7(4 + -2k) Reorder the terms: -20 + -6k = -8k + 7(4 + -2k) -20 + -6k = -8k + (4 * 7 + -2k * 7) -20 + -6k = -8k + (28 + -14k) Reorder the terms: -20 + -6k = 28 + -8k + -14k Combine like terms: -8k + -14k = -22k -20 + -6k = 28 + -22k Solving -20 + -6k = 28 + -22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22k' to each side of the equation. -20 + -6k + 22k = 28 + -22k + 22k Combine like terms: -6k + 22k = 16k -20 + 16k = 28 + -22k + 22k Combine like terms: -22k + 22k = 0 -20 + 16k = 28 + 0 -20 + 16k = 28 Add '20' to each side of the equation. -20 + 20 + 16k = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 16k = 28 + 20 16k = 28 + 20 Combine like terms: 28 + 20 = 48 16k = 48 Divide each side by '16'. k = 3 Simplifying k = 3
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