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Simplifying 38 + -8k = -2(8k + 7) + -4 Reorder the terms: 38 + -8k = -2(7 + 8k) + -4 38 + -8k = (7 * -2 + 8k * -2) + -4 38 + -8k = (-14 + -16k) + -4 Reorder the terms: 38 + -8k = -14 + -4 + -16k Combine like terms: -14 + -4 = -18 38 + -8k = -18 + -16k Solving 38 + -8k = -18 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 38 + -8k + 16k = -18 + -16k + 16k Combine like terms: -8k + 16k = 8k 38 + 8k = -18 + -16k + 16k Combine like terms: -16k + 16k = 0 38 + 8k = -18 + 0 38 + 8k = -18 Add '-38' to each side of the equation. 38 + -38 + 8k = -18 + -38 Combine like terms: 38 + -38 = 0 0 + 8k = -18 + -38 8k = -18 + -38 Combine like terms: -18 + -38 = -56 8k = -56 Divide each side by '8'. k = -7 Simplifying k = -7
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