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Simplifying (k + -7) + -1(3k + -9) = 0 Reorder the terms: (-7 + k) + -1(3k + -9) = 0 Remove parenthesis around (-7 + k) -7 + k + -1(3k + -9) = 0 Reorder the terms: -7 + k + -1(-9 + 3k) = 0 -7 + k + (-9 * -1 + 3k * -1) = 0 -7 + k + (9 + -3k) = 0 Reorder the terms: -7 + 9 + k + -3k = 0 Combine like terms: -7 + 9 = 2 2 + k + -3k = 0 Combine like terms: k + -3k = -2k 2 + -2k = 0 Solving 2 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2k = 0 + -2 -2k = 0 + -2 Combine like terms: 0 + -2 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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