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Simplifying -2 + -10(1 + k) = -1(k + 2) + -8k -2 + (1 * -10 + k * -10) = -1(k + 2) + -8k -2 + (-10 + -10k) = -1(k + 2) + -8k Combine like terms: -2 + -10 = -12 -12 + -10k = -1(k + 2) + -8k Reorder the terms: -12 + -10k = -1(2 + k) + -8k -12 + -10k = (2 * -1 + k * -1) + -8k -12 + -10k = (-2 + -1k) + -8k Combine like terms: -1k + -8k = -9k -12 + -10k = -2 + -9k Solving -12 + -10k = -2 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -12 + -10k + 9k = -2 + -9k + 9k Combine like terms: -10k + 9k = -1k -12 + -1k = -2 + -9k + 9k Combine like terms: -9k + 9k = 0 -12 + -1k = -2 + 0 -12 + -1k = -2 Add '12' to each side of the equation. -12 + 12 + -1k = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -1k = -2 + 12 -1k = -2 + 12 Combine like terms: -2 + 12 = 10 -1k = 10 Divide each side by '-1'. k = -10 Simplifying k = -10
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