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Simplifying 2(7 + -8k) + -6(-5k + -5) = 4 + -6k + 8k + -8 (7 * 2 + -8k * 2) + -6(-5k + -5) = 4 + -6k + 8k + -8 (14 + -16k) + -6(-5k + -5) = 4 + -6k + 8k + -8 Reorder the terms: 14 + -16k + -6(-5 + -5k) = 4 + -6k + 8k + -8 14 + -16k + (-5 * -6 + -5k * -6) = 4 + -6k + 8k + -8 14 + -16k + (30 + 30k) = 4 + -6k + 8k + -8 Reorder the terms: 14 + 30 + -16k + 30k = 4 + -6k + 8k + -8 Combine like terms: 14 + 30 = 44 44 + -16k + 30k = 4 + -6k + 8k + -8 Combine like terms: -16k + 30k = 14k 44 + 14k = 4 + -6k + 8k + -8 Reorder the terms: 44 + 14k = 4 + -8 + -6k + 8k Combine like terms: 4 + -8 = -4 44 + 14k = -4 + -6k + 8k Combine like terms: -6k + 8k = 2k 44 + 14k = -4 + 2k Solving 44 + 14k = -4 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 44 + 14k + -2k = -4 + 2k + -2k Combine like terms: 14k + -2k = 12k 44 + 12k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 44 + 12k = -4 + 0 44 + 12k = -4 Add '-44' to each side of the equation. 44 + -44 + 12k = -4 + -44 Combine like terms: 44 + -44 = 0 0 + 12k = -4 + -44 12k = -4 + -44 Combine like terms: -4 + -44 = -48 12k = -48 Divide each side by '12'. k = -4 Simplifying k = -4
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