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Simplifying -52 + 5k = 6(-8k + 9) Reorder the terms: -52 + 5k = 6(9 + -8k) -52 + 5k = (9 * 6 + -8k * 6) -52 + 5k = (54 + -48k) Solving -52 + 5k = 54 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. -52 + 5k + 48k = 54 + -48k + 48k Combine like terms: 5k + 48k = 53k -52 + 53k = 54 + -48k + 48k Combine like terms: -48k + 48k = 0 -52 + 53k = 54 + 0 -52 + 53k = 54 Add '52' to each side of the equation. -52 + 52 + 53k = 54 + 52 Combine like terms: -52 + 52 = 0 0 + 53k = 54 + 52 53k = 54 + 52 Combine like terms: 54 + 52 = 106 53k = 106 Divide each side by '53'. k = 2 Simplifying k = 2
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