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Simplifying -20 = 6(k + -3) + -8(k + 1) Reorder the terms: -20 = 6(-3 + k) + -8(k + 1) -20 = (-3 * 6 + k * 6) + -8(k + 1) -20 = (-18 + 6k) + -8(k + 1) Reorder the terms: -20 = -18 + 6k + -8(1 + k) -20 = -18 + 6k + (1 * -8 + k * -8) -20 = -18 + 6k + (-8 + -8k) Reorder the terms: -20 = -18 + -8 + 6k + -8k Combine like terms: -18 + -8 = -26 -20 = -26 + 6k + -8k Combine like terms: 6k + -8k = -2k -20 = -26 + -2k Solving -20 = -26 + -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. -20 + 2k = -26 + -2k + 2k Combine like terms: -2k + 2k = 0 -20 + 2k = -26 + 0 -20 + 2k = -26 Add '20' to each side of the equation. -20 + 20 + 2k = -26 + 20 Combine like terms: -20 + 20 = 0 0 + 2k = -26 + 20 2k = -26 + 20 Combine like terms: -26 + 20 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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