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Simplifying 21 = -3 + 4(k + -9) Reorder the terms: 21 = -3 + 4(-9 + k) 21 = -3 + (-9 * 4 + k * 4) 21 = -3 + (-36 + 4k) Combine like terms: -3 + -36 = -39 21 = -39 + 4k Solving 21 = -39 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 21 + -4k = -39 + 4k + -4k Combine like terms: 4k + -4k = 0 21 + -4k = -39 + 0 21 + -4k = -39 Add '-21' to each side of the equation. 21 + -21 + -4k = -39 + -21 Combine like terms: 21 + -21 = 0 0 + -4k = -39 + -21 -4k = -39 + -21 Combine like terms: -39 + -21 = -60 -4k = -60 Divide each side by '-4'. k = 15 Simplifying k = 15
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