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Simplifying 7(-8k + 9) = -9k + 16 Reorder the terms: 7(9 + -8k) = -9k + 16 (9 * 7 + -8k * 7) = -9k + 16 (63 + -56k) = -9k + 16 Reorder the terms: 63 + -56k = 16 + -9k Solving 63 + -56k = 16 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 63 + -56k + 9k = 16 + -9k + 9k Combine like terms: -56k + 9k = -47k 63 + -47k = 16 + -9k + 9k Combine like terms: -9k + 9k = 0 63 + -47k = 16 + 0 63 + -47k = 16 Add '-63' to each side of the equation. 63 + -63 + -47k = 16 + -63 Combine like terms: 63 + -63 = 0 0 + -47k = 16 + -63 -47k = 16 + -63 Combine like terms: 16 + -63 = -47 -47k = -47 Divide each side by '-47'. k = 1 Simplifying k = 1
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