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Simplifying 13 + 3(k + 11) = 8k + -7 Reorder the terms: 13 + 3(11 + k) = 8k + -7 13 + (11 * 3 + k * 3) = 8k + -7 13 + (33 + 3k) = 8k + -7 Combine like terms: 13 + 33 = 46 46 + 3k = 8k + -7 Reorder the terms: 46 + 3k = -7 + 8k Solving 46 + 3k = -7 + 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. 46 + 3k + -8k = -7 + 8k + -8k Combine like terms: 3k + -8k = -5k 46 + -5k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 46 + -5k = -7 + 0 46 + -5k = -7 Add '-46' to each side of the equation. 46 + -46 + -5k = -7 + -46 Combine like terms: 46 + -46 = 0 0 + -5k = -7 + -46 -5k = -7 + -46 Combine like terms: -7 + -46 = -53 -5k = -53 Divide each side by '-5'. k = 10.6 Simplifying k = 10.6
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