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Simplifying -28 + -3k = 8(k + 7) + 3k Reorder the terms: -28 + -3k = 8(7 + k) + 3k -28 + -3k = (7 * 8 + k * 8) + 3k -28 + -3k = (56 + 8k) + 3k Combine like terms: 8k + 3k = 11k -28 + -3k = 56 + 11k Solving -28 + -3k = 56 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -28 + -3k + -11k = 56 + 11k + -11k Combine like terms: -3k + -11k = -14k -28 + -14k = 56 + 11k + -11k Combine like terms: 11k + -11k = 0 -28 + -14k = 56 + 0 -28 + -14k = 56 Add '28' to each side of the equation. -28 + 28 + -14k = 56 + 28 Combine like terms: -28 + 28 = 0 0 + -14k = 56 + 28 -14k = 56 + 28 Combine like terms: 56 + 28 = 84 -14k = 84 Divide each side by '-14'. k = -6 Simplifying k = -6
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