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Simplifying 5(k + -21) + 3k = 4 Reorder the terms: 5(-21 + k) + 3k = 4 (-21 * 5 + k * 5) + 3k = 4 (-105 + 5k) + 3k = 4 Combine like terms: 5k + 3k = 8k -105 + 8k = 4 Solving -105 + 8k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + 8k = 4 + 105 Combine like terms: -105 + 105 = 0 0 + 8k = 4 + 105 8k = 4 + 105 Combine like terms: 4 + 105 = 109 8k = 109 Divide each side by '8'. k = 13.625 Simplifying k = 13.625
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