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Simplifying 5k + -21 = -3(k + -8) Reorder the terms: -21 + 5k = -3(k + -8) Reorder the terms: -21 + 5k = -3(-8 + k) -21 + 5k = (-8 * -3 + k * -3) -21 + 5k = (24 + -3k) Solving -21 + 5k = 24 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -21 + 5k + 3k = 24 + -3k + 3k Combine like terms: 5k + 3k = 8k -21 + 8k = 24 + -3k + 3k Combine like terms: -3k + 3k = 0 -21 + 8k = 24 + 0 -21 + 8k = 24 Add '21' to each side of the equation. -21 + 21 + 8k = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 8k = 24 + 21 8k = 24 + 21 Combine like terms: 24 + 21 = 45 8k = 45 Divide each side by '8'. k = 5.625 Simplifying k = 5.625
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