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Simplifying 4(k + -7) + -1(7 + 6k) = -3k Reorder the terms: 4(-7 + k) + -1(7 + 6k) = -3k (-7 * 4 + k * 4) + -1(7 + 6k) = -3k (-28 + 4k) + -1(7 + 6k) = -3k -28 + 4k + (7 * -1 + 6k * -1) = -3k -28 + 4k + (-7 + -6k) = -3k Reorder the terms: -28 + -7 + 4k + -6k = -3k Combine like terms: -28 + -7 = -35 -35 + 4k + -6k = -3k Combine like terms: 4k + -6k = -2k -35 + -2k = -3k Solving -35 + -2k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -35 + -2k + 3k = -3k + 3k Combine like terms: -2k + 3k = 1k -35 + 1k = -3k + 3k Combine like terms: -3k + 3k = 0 -35 + 1k = 0 Add '35' to each side of the equation. -35 + 35 + 1k = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 1k = 0 + 35 1k = 0 + 35 Combine like terms: 0 + 35 = 35 1k = 35 Divide each side by '1'. k = 35 Simplifying k = 35
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