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Simplifying 13k + 3(k + 11) = 8k + -7 Reorder the terms: 13k + 3(11 + k) = 8k + -7 13k + (11 * 3 + k * 3) = 8k + -7 13k + (33 + 3k) = 8k + -7 Reorder the terms: 33 + 13k + 3k = 8k + -7 Combine like terms: 13k + 3k = 16k 33 + 16k = 8k + -7 Reorder the terms: 33 + 16k = -7 + 8k Solving 33 + 16k = -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. 33 + 16k + -8k = -7 + 8k + -8k Combine like terms: 16k + -8k = 8k 33 + 8k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 33 + 8k = -7 + 0 33 + 8k = -7 Add '-33' to each side of the equation. 33 + -33 + 8k = -7 + -33 Combine like terms: 33 + -33 = 0 0 + 8k = -7 + -33 8k = -7 + -33 Combine like terms: -7 + -33 = -40 8k = -40 Divide each side by '8'. k = -5 Simplifying k = -5
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