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Simplifying 97 = 6(4k + -5) + 7 Reorder the terms: 97 = 6(-5 + 4k) + 7 97 = (-5 * 6 + 4k * 6) + 7 97 = (-30 + 24k) + 7 Reorder the terms: 97 = -30 + 7 + 24k Combine like terms: -30 + 7 = -23 97 = -23 + 24k Solving 97 = -23 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 97 + -24k = -23 + 24k + -24k Combine like terms: 24k + -24k = 0 97 + -24k = -23 + 0 97 + -24k = -23 Add '-97' to each side of the equation. 97 + -97 + -24k = -23 + -97 Combine like terms: 97 + -97 = 0 0 + -24k = -23 + -97 -24k = -23 + -97 Combine like terms: -23 + -97 = -120 -24k = -120 Divide each side by '-24'. k = 5 Simplifying k = 5
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