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Simplifying -1k + -1(6k) + 7 + 2k + -10 = 0 Remove parenthesis around (6k) -1k + -1 * 6k + 7 + 2k + -10 = 0 Multiply -1 * 6 -1k + -6k + 7 + 2k + -10 = 0 Reorder the terms: 7 + -10 + -1k + -6k + 2k = 0 Combine like terms: 7 + -10 = -3 -3 + -1k + -6k + 2k = 0 Combine like terms: -1k + -6k = -7k -3 + -7k + 2k = 0 Combine like terms: -7k + 2k = -5k -3 + -5k = 0 Solving -3 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5k = 0 + 3 -5k = 0 + 3 Combine like terms: 0 + 3 = 3 -5k = 3 Divide each side by '-5'. k = -0.6 Simplifying k = -0.6
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