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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 = -22 -97 = -22 + 15k Solving -97 = -22 + 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 = -22 + 15k + -15k Combine like terms: 15k + -15k = 0 -97 + -15k = -22 + 0 -97 + -15k = -22 Add '97' to each side of the equation. -97 + 97 + -15k = -22 + 97 Combine like terms: -97 + 97 = 0 0 + -15k = -22 + 97 -15k = -22 + 97 Combine like terms: -22 + 97 = 75 -15k = 75 Divide each side by '-15'. k = -5 Simplifying k = -5
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