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Simplifying 4(k + -2) + -1(3k + -7) = 9 Reorder the terms: 4(-2 + k) + -1(3k + -7) = 9 (-2 * 4 + k * 4) + -1(3k + -7) = 9 (-8 + 4k) + -1(3k + -7) = 9 Reorder the terms: -8 + 4k + -1(-7 + 3k) = 9 -8 + 4k + (-7 * -1 + 3k * -1) = 9 -8 + 4k + (7 + -3k) = 9 Reorder the terms: -8 + 7 + 4k + -3k = 9 Combine like terms: -8 + 7 = -1 -1 + 4k + -3k = 9 Combine like terms: 4k + -3k = 1k -1 + 1k = 9 Solving -1 + 1k = 9 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 + 1k = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 1k = 9 + 1 1k = 9 + 1 Combine like terms: 9 + 1 = 10 1k = 10 Divide each side by '1'. k = 10 Simplifying k = 10
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