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Simplifying 28 = -7 + 6(k + -9) Reorder the terms: 28 = -7 + 6(-9 + k) 28 = -7 + (-9 * 6 + k * 6) 28 = -7 + (-54 + 6k) Combine like terms: -7 + -54 = -61 28 = -61 + 6k Solving 28 = -61 + 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. 28 + -6k = -61 + 6k + -6k Combine like terms: 6k + -6k = 0 28 + -6k = -61 + 0 28 + -6k = -61 Add '-28' to each side of the equation. 28 + -28 + -6k = -61 + -28 Combine like terms: 28 + -28 = 0 0 + -6k = -61 + -28 -6k = -61 + -28 Combine like terms: -61 + -28 = -89 -6k = -89 Divide each side by '-6'. k = 14.83333333 Simplifying k = 14.83333333
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