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Simplifying 3k + 3(k + 11) = 8k + -7 Reorder the terms: 3k + 3(11 + k) = 8k + -7 3k + (11 * 3 + k * 3) = 8k + -7 3k + (33 + 3k) = 8k + -7 Reorder the terms: 33 + 3k + 3k = 8k + -7 Combine like terms: 3k + 3k = 6k 33 + 6k = 8k + -7 Reorder the terms: 33 + 6k = -7 + 8k Solving 33 + 6k = -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 + 6k + -8k = -7 + 8k + -8k Combine like terms: 6k + -8k = -2k 33 + -2k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 33 + -2k = -7 + 0 33 + -2k = -7 Add '-33' to each side of the equation. 33 + -33 + -2k = -7 + -33 Combine like terms: 33 + -33 = 0 0 + -2k = -7 + -33 -2k = -7 + -33 Combine like terms: -7 + -33 = -40 -2k = -40 Divide each side by '-2'. k = 20 Simplifying k = 20
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