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Simplifying -21 + 4k = -1(8k + 2) + -7 Reorder the terms: -21 + 4k = -1(2 + 8k) + -7 -21 + 4k = (2 * -1 + 8k * -1) + -7 -21 + 4k = (-2 + -8k) + -7 Reorder the terms: -21 + 4k = -2 + -7 + -8k Combine like terms: -2 + -7 = -9 -21 + 4k = -9 + -8k Solving -21 + 4k = -9 + -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. -21 + 4k + 8k = -9 + -8k + 8k Combine like terms: 4k + 8k = 12k -21 + 12k = -9 + -8k + 8k Combine like terms: -8k + 8k = 0 -21 + 12k = -9 + 0 -21 + 12k = -9 Add '21' to each side of the equation. -21 + 21 + 12k = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 12k = -9 + 21 12k = -9 + 21 Combine like terms: -9 + 21 = 12 12k = 12 Divide each side by '12'. k = 1 Simplifying k = 1
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