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Simplifying 4(k + 1) + -1k + -10 = -5(k + 4) + 6 Reorder the terms: 4(1 + k) + -1k + -10 = -5(k + 4) + 6 (1 * 4 + k * 4) + -1k + -10 = -5(k + 4) + 6 (4 + 4k) + -1k + -10 = -5(k + 4) + 6 Reorder the terms: 4 + -10 + 4k + -1k = -5(k + 4) + 6 Combine like terms: 4 + -10 = -6 -6 + 4k + -1k = -5(k + 4) + 6 Combine like terms: 4k + -1k = 3k -6 + 3k = -5(k + 4) + 6 Reorder the terms: -6 + 3k = -5(4 + k) + 6 -6 + 3k = (4 * -5 + k * -5) + 6 -6 + 3k = (-20 + -5k) + 6 Reorder the terms: -6 + 3k = -20 + 6 + -5k Combine like terms: -20 + 6 = -14 -6 + 3k = -14 + -5k Solving -6 + 3k = -14 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -6 + 3k + 5k = -14 + -5k + 5k Combine like terms: 3k + 5k = 8k -6 + 8k = -14 + -5k + 5k Combine like terms: -5k + 5k = 0 -6 + 8k = -14 + 0 -6 + 8k = -14 Add '6' to each side of the equation. -6 + 6 + 8k = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 8k = -14 + 6 8k = -14 + 6 Combine like terms: -14 + 6 = -8 8k = -8 Divide each side by '8'. k = -1 Simplifying k = -1
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