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Simplifying 6(-1k + -2) = -8(k + 2) Reorder the terms: 6(-2 + -1k) = -8(k + 2) (-2 * 6 + -1k * 6) = -8(k + 2) (-12 + -6k) = -8(k + 2) Reorder the terms: -12 + -6k = -8(2 + k) -12 + -6k = (2 * -8 + k * -8) -12 + -6k = (-16 + -8k) Solving -12 + -6k = -16 + -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. -12 + -6k + 8k = -16 + -8k + 8k Combine like terms: -6k + 8k = 2k -12 + 2k = -16 + -8k + 8k Combine like terms: -8k + 8k = 0 -12 + 2k = -16 + 0 -12 + 2k = -16 Add '12' to each side of the equation. -12 + 12 + 2k = -16 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = -16 + 12 2k = -16 + 12 Combine like terms: -16 + 12 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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