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Simplifying 3(k + -3) + -1(2k + -4) = -7 Reorder the terms: 3(-3 + k) + -1(2k + -4) = -7 (-3 * 3 + k * 3) + -1(2k + -4) = -7 (-9 + 3k) + -1(2k + -4) = -7 Reorder the terms: -9 + 3k + -1(-4 + 2k) = -7 -9 + 3k + (-4 * -1 + 2k * -1) = -7 -9 + 3k + (4 + -2k) = -7 Reorder the terms: -9 + 4 + 3k + -2k = -7 Combine like terms: -9 + 4 = -5 -5 + 3k + -2k = -7 Combine like terms: 3k + -2k = 1k -5 + 1k = -7 Solving -5 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1k = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 1k = -7 + 5 1k = -7 + 5 Combine like terms: -7 + 5 = -2 1k = -2 Divide each side by '1'. k = -2 Simplifying k = -2
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