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Simplifying -97 = -1 + 3(5k + 7) Reorder the terms: -97 = -1 + 3(7 + 5k) -97 = -1 + (7 * 3 + 5k * 3) -97 = -1 + (21 + 15k) Combine like terms: -1 + 21 = 20 -97 = 20 + 15k Solving -97 = 20 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -97 + -15k = 20 + 15k + -15k Combine like terms: 15k + -15k = 0 -97 + -15k = 20 + 0 -97 + -15k = 20 Add '97' to each side of the equation. -97 + 97 + -15k = 20 + 97 Combine like terms: -97 + 97 = 0 0 + -15k = 20 + 97 -15k = 20 + 97 Combine like terms: 20 + 97 = 117 -15k = 117 Divide each side by '-15'. k = -7.8 Simplifying k = -7.8
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