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Simplifying 6(k + 7) + -4 = 5k + 40 Reorder the terms: 6(7 + k) + -4 = 5k + 40 (7 * 6 + k * 6) + -4 = 5k + 40 (42 + 6k) + -4 = 5k + 40 Reorder the terms: 42 + -4 + 6k = 5k + 40 Combine like terms: 42 + -4 = 38 38 + 6k = 5k + 40 Reorder the terms: 38 + 6k = 40 + 5k Solving 38 + 6k = 40 + 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. 38 + 6k + -5k = 40 + 5k + -5k Combine like terms: 6k + -5k = 1k 38 + 1k = 40 + 5k + -5k Combine like terms: 5k + -5k = 0 38 + 1k = 40 + 0 38 + 1k = 40 Add '-38' to each side of the equation. 38 + -38 + 1k = 40 + -38 Combine like terms: 38 + -38 = 0 0 + 1k = 40 + -38 1k = 40 + -38 Combine like terms: 40 + -38 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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