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Simplifying -50 = 5(5k + 6) + -1(6k + 4) Reorder the terms: -50 = 5(6 + 5k) + -1(6k + 4) -50 = (6 * 5 + 5k * 5) + -1(6k + 4) -50 = (30 + 25k) + -1(6k + 4) Reorder the terms: -50 = 30 + 25k + -1(4 + 6k) -50 = 30 + 25k + (4 * -1 + 6k * -1) -50 = 30 + 25k + (-4 + -6k) Reorder the terms: -50 = 30 + -4 + 25k + -6k Combine like terms: 30 + -4 = 26 -50 = 26 + 25k + -6k Combine like terms: 25k + -6k = 19k -50 = 26 + 19k Solving -50 = 26 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. -50 + -19k = 26 + 19k + -19k Combine like terms: 19k + -19k = 0 -50 + -19k = 26 + 0 -50 + -19k = 26 Add '50' to each side of the equation. -50 + 50 + -19k = 26 + 50 Combine like terms: -50 + 50 = 0 0 + -19k = 26 + 50 -19k = 26 + 50 Combine like terms: 26 + 50 = 76 -19k = 76 Divide each side by '-19'. k = -4 Simplifying k = -4
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