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Simplifying -7 + -1k = -1(-8k + -4) + -2 Reorder the terms: -7 + -1k = -1(-4 + -8k) + -2 -7 + -1k = (-4 * -1 + -8k * -1) + -2 -7 + -1k = (4 + 8k) + -2 Reorder the terms: -7 + -1k = 4 + -2 + 8k Combine like terms: 4 + -2 = 2 -7 + -1k = 2 + 8k Solving -7 + -1k = 2 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -7 + -1k + -8k = 2 + 8k + -8k Combine like terms: -1k + -8k = -9k -7 + -9k = 2 + 8k + -8k Combine like terms: 8k + -8k = 0 -7 + -9k = 2 + 0 -7 + -9k = 2 Add '7' to each side of the equation. -7 + 7 + -9k = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9k = 2 + 7 -9k = 2 + 7 Combine like terms: 2 + 7 = 9 -9k = 9 Divide each side by '-9'. k = -1 Simplifying k = -1
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