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Simplifying -6k + -8(k + 1) = -3(k + -1) Reorder the terms: -6k + -8(1 + k) = -3(k + -1) -6k + (1 * -8 + k * -8) = -3(k + -1) -6k + (-8 + -8k) = -3(k + -1) Reorder the terms: -8 + -6k + -8k = -3(k + -1) Combine like terms: -6k + -8k = -14k -8 + -14k = -3(k + -1) Reorder the terms: -8 + -14k = -3(-1 + k) -8 + -14k = (-1 * -3 + k * -3) -8 + -14k = (3 + -3k) Solving -8 + -14k = 3 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -8 + -14k + 3k = 3 + -3k + 3k Combine like terms: -14k + 3k = -11k -8 + -11k = 3 + -3k + 3k Combine like terms: -3k + 3k = 0 -8 + -11k = 3 + 0 -8 + -11k = 3 Add '8' to each side of the equation. -8 + 8 + -11k = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -11k = 3 + 8 -11k = 3 + 8 Combine like terms: 3 + 8 = 11 -11k = 11 Divide each side by '-11'. k = -1 Simplifying k = -1
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