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Simplifying -20 = -4(k + 7) + 2(k + 6) Reorder the terms: -20 = -4(7 + k) + 2(k + 6) -20 = (7 * -4 + k * -4) + 2(k + 6) -20 = (-28 + -4k) + 2(k + 6) Reorder the terms: -20 = -28 + -4k + 2(6 + k) -20 = -28 + -4k + (6 * 2 + k * 2) -20 = -28 + -4k + (12 + 2k) Reorder the terms: -20 = -28 + 12 + -4k + 2k Combine like terms: -28 + 12 = -16 -20 = -16 + -4k + 2k Combine like terms: -4k + 2k = -2k -20 = -16 + -2k Solving -20 = -16 + -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 = -16 + -2k + 2k Combine like terms: -2k + 2k = 0 -20 + 2k = -16 + 0 -20 + 2k = -16 Add '20' to each side of the equation. -20 + 20 + 2k = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 2k = -16 + 20 2k = -16 + 20 Combine like terms: -16 + 20 = 4 2k = 4 Divide each side by '2'. k = 2 Simplifying k = 2
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