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Simplifying 4(k + 8) + -1(3k + 3) = 4 Reorder the terms: 4(8 + k) + -1(3k + 3) = 4 (8 * 4 + k * 4) + -1(3k + 3) = 4 (32 + 4k) + -1(3k + 3) = 4 Reorder the terms: 32 + 4k + -1(3 + 3k) = 4 32 + 4k + (3 * -1 + 3k * -1) = 4 32 + 4k + (-3 + -3k) = 4 Reorder the terms: 32 + -3 + 4k + -3k = 4 Combine like terms: 32 + -3 = 29 29 + 4k + -3k = 4 Combine like terms: 4k + -3k = 1k 29 + 1k = 4 Solving 29 + 1k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 1k = 4 + -29 Combine like terms: 29 + -29 = 0 0 + 1k = 4 + -29 1k = 4 + -29 Combine like terms: 4 + -29 = -25 1k = -25 Divide each side by '1'. k = -25 Simplifying k = -25
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