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Simplifying k + -4(k + -3) + 7 = 6 + -1(k + -4) Reorder the terms: k + -4(-3 + k) + 7 = 6 + -1(k + -4) k + (-3 * -4 + k * -4) + 7 = 6 + -1(k + -4) k + (12 + -4k) + 7 = 6 + -1(k + -4) Reorder the terms: 12 + 7 + k + -4k = 6 + -1(k + -4) Combine like terms: 12 + 7 = 19 19 + k + -4k = 6 + -1(k + -4) Combine like terms: k + -4k = -3k 19 + -3k = 6 + -1(k + -4) Reorder the terms: 19 + -3k = 6 + -1(-4 + k) 19 + -3k = 6 + (-4 * -1 + k * -1) 19 + -3k = 6 + (4 + -1k) Combine like terms: 6 + 4 = 10 19 + -3k = 10 + -1k Solving 19 + -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. 19 + -3k + k = 10 + -1k + k Combine like terms: -3k + k = -2k 19 + -2k = 10 + -1k + k Combine like terms: -1k + k = 0 19 + -2k = 10 + 0 19 + -2k = 10 Add '-19' to each side of the equation. 19 + -19 + -2k = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -2k = 10 + -19 -2k = 10 + -19 Combine like terms: 10 + -19 = -9 -2k = -9 Divide each side by '-2'. k = 4.5 Simplifying k = 4.5
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