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Simplifying 61 = 6(k + -88) + 7 Reorder the terms: 61 = 6(-88 + k) + 7 61 = (-88 * 6 + k * 6) + 7 61 = (-528 + 6k) + 7 Reorder the terms: 61 = -528 + 7 + 6k Combine like terms: -528 + 7 = -521 61 = -521 + 6k Solving 61 = -521 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 61 + -6k = -521 + 6k + -6k Combine like terms: 6k + -6k = 0 61 + -6k = -521 + 0 61 + -6k = -521 Add '-61' to each side of the equation. 61 + -61 + -6k = -521 + -61 Combine like terms: 61 + -61 = 0 0 + -6k = -521 + -61 -6k = -521 + -61 Combine like terms: -521 + -61 = -582 -6k = -582 Divide each side by '-6'. k = 97 Simplifying k = 97
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