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Simplifying 6(-6k + -7) + 3 = 5k + -39 Reorder the terms: 6(-7 + -6k) + 3 = 5k + -39 (-7 * 6 + -6k * 6) + 3 = 5k + -39 (-42 + -36k) + 3 = 5k + -39 Reorder the terms: -42 + 3 + -36k = 5k + -39 Combine like terms: -42 + 3 = -39 -39 + -36k = 5k + -39 Reorder the terms: -39 + -36k = -39 + 5k Add '39' to each side of the equation. -39 + 39 + -36k = -39 + 39 + 5k Combine like terms: -39 + 39 = 0 0 + -36k = -39 + 39 + 5k -36k = -39 + 39 + 5k Combine like terms: -39 + 39 = 0 -36k = 0 + 5k -36k = 5k Solving -36k = 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. -36k + -5k = 5k + -5k Combine like terms: -36k + -5k = -41k -41k = 5k + -5k Combine like terms: 5k + -5k = 0 -41k = 0 Divide each side by '-41'. k = 0 Simplifying k = 0
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