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Simplifying (-3 + 4k) + -1(-2 + 7k) = 0 Remove parenthesis around (-3 + 4k) -3 + 4k + -1(-2 + 7k) = 0 -3 + 4k + (-2 * -1 + 7k * -1) = 0 -3 + 4k + (2 + -7k) = 0 Reorder the terms: -3 + 2 + 4k + -7k = 0 Combine like terms: -3 + 2 = -1 -1 + 4k + -7k = 0 Combine like terms: 4k + -7k = -3k -1 + -3k = 0 Solving -1 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3k = 0 + 1 -3k = 0 + 1 Combine like terms: 0 + 1 = 1 -3k = 1 Divide each side by '-3'. k = -0.3333333333 Simplifying k = -0.3333333333
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