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Simplifying -8(1 + -6k) + 5k = 8k + 37 (1 * -8 + -6k * -8) + 5k = 8k + 37 (-8 + 48k) + 5k = 8k + 37 Combine like terms: 48k + 5k = 53k -8 + 53k = 8k + 37 Reorder the terms: -8 + 53k = 37 + 8k Solving -8 + 53k = 37 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -8 + 53k + -8k = 37 + 8k + -8k Combine like terms: 53k + -8k = 45k -8 + 45k = 37 + 8k + -8k Combine like terms: 8k + -8k = 0 -8 + 45k = 37 + 0 -8 + 45k = 37 Add '8' to each side of the equation. -8 + 8 + 45k = 37 + 8 Combine like terms: -8 + 8 = 0 0 + 45k = 37 + 8 45k = 37 + 8 Combine like terms: 37 + 8 = 45 45k = 45 Divide each side by '45'. k = 1 Simplifying k = 1
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