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Simplifying 5(-1k + 7) + 1 + -2 = 0 Reorder the terms: 5(7 + -1k) + 1 + -2 = 0 (7 * 5 + -1k * 5) + 1 + -2 = 0 (35 + -5k) + 1 + -2 = 0 Reorder the terms: 35 + 1 + -2 + -5k = 0 Combine like terms: 35 + 1 = 36 36 + -2 + -5k = 0 Combine like terms: 36 + -2 = 34 34 + -5k = 0 Solving 34 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -5k = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -5k = 0 + -34 -5k = 0 + -34 Combine like terms: 0 + -34 = -34 -5k = -34 Divide each side by '-5'. k = 6.8 Simplifying k = 6.8
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