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Simplifying 13(k + 11) = 8k + -7 Reorder the terms: 13(11 + k) = 8k + -7 (11 * 13 + k * 13) = 8k + -7 (143 + 13k) = 8k + -7 Reorder the terms: 143 + 13k = -7 + 8k Solving 143 + 13k = -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. 143 + 13k + -8k = -7 + 8k + -8k Combine like terms: 13k + -8k = 5k 143 + 5k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 143 + 5k = -7 + 0 143 + 5k = -7 Add '-143' to each side of the equation. 143 + -143 + 5k = -7 + -143 Combine like terms: 143 + -143 = 0 0 + 5k = -7 + -143 5k = -7 + -143 Combine like terms: -7 + -143 = -150 5k = -150 Divide each side by '5'. k = -30 Simplifying k = -30
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