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Simplifying -1(3k + -4) = 7 + -1(k + -3) Reorder the terms: -1(-4 + 3k) = 7 + -1(k + -3) (-4 * -1 + 3k * -1) = 7 + -1(k + -3) (4 + -3k) = 7 + -1(k + -3) Reorder the terms: 4 + -3k = 7 + -1(-3 + k) 4 + -3k = 7 + (-3 * -1 + k * -1) 4 + -3k = 7 + (3 + -1k) Combine like terms: 7 + 3 = 10 4 + -3k = 10 + -1k Solving 4 + -3k = 10 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 4 + -3k + k = 10 + -1k + k Combine like terms: -3k + k = -2k 4 + -2k = 10 + -1k + k Combine like terms: -1k + k = 0 4 + -2k = 10 + 0 4 + -2k = 10 Add '-4' to each side of the equation. 4 + -4 + -2k = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = 10 + -4 -2k = 10 + -4 Combine like terms: 10 + -4 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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