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Simplifying -6(k + -97) + -37 = -19 Reorder the terms: -6(-97 + k) + -37 = -19 (-97 * -6 + k * -6) + -37 = -19 (582 + -6k) + -37 = -19 Reorder the terms: 582 + -37 + -6k = -19 Combine like terms: 582 + -37 = 545 545 + -6k = -19 Solving 545 + -6k = -19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-545' to each side of the equation. 545 + -545 + -6k = -19 + -545 Combine like terms: 545 + -545 = 0 0 + -6k = -19 + -545 -6k = -19 + -545 Combine like terms: -19 + -545 = -564 -6k = -564 Divide each side by '-6'. k = 94 Simplifying k = 94
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