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Simplifying -28 + -8k = 5 + 3(-3k + -5) Reorder the terms: -28 + -8k = 5 + 3(-5 + -3k) -28 + -8k = 5 + (-5 * 3 + -3k * 3) -28 + -8k = 5 + (-15 + -9k) Combine like terms: 5 + -15 = -10 -28 + -8k = -10 + -9k Solving -28 + -8k = -10 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -28 + -8k + 9k = -10 + -9k + 9k Combine like terms: -8k + 9k = 1k -28 + 1k = -10 + -9k + 9k Combine like terms: -9k + 9k = 0 -28 + 1k = -10 + 0 -28 + 1k = -10 Add '28' to each side of the equation. -28 + 28 + 1k = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 1k = -10 + 28 1k = -10 + 28 Combine like terms: -10 + 28 = 18 1k = 18 Divide each side by '1'. k = 18 Simplifying k = 18
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