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Simplifying -5(k + 6) + -1(-3k + -4) = -3k Reorder the terms: -5(6 + k) + -1(-3k + -4) = -3k (6 * -5 + k * -5) + -1(-3k + -4) = -3k (-30 + -5k) + -1(-3k + -4) = -3k Reorder the terms: -30 + -5k + -1(-4 + -3k) = -3k -30 + -5k + (-4 * -1 + -3k * -1) = -3k -30 + -5k + (4 + 3k) = -3k Reorder the terms: -30 + 4 + -5k + 3k = -3k Combine like terms: -30 + 4 = -26 -26 + -5k + 3k = -3k Combine like terms: -5k + 3k = -2k -26 + -2k = -3k Solving -26 + -2k = -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. -26 + -2k + 3k = -3k + 3k Combine like terms: -2k + 3k = 1k -26 + 1k = -3k + 3k Combine like terms: -3k + 3k = 0 -26 + 1k = 0 Add '26' to each side of the equation. -26 + 26 + 1k = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1k = 0 + 26 1k = 0 + 26 Combine like terms: 0 + 26 = 26 1k = 26 Divide each side by '1'. k = 26 Simplifying k = 26
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