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Simplifying -8(k + 4) + -1(6k + -3) = -15k Reorder the terms: -8(4 + k) + -1(6k + -3) = -15k (4 * -8 + k * -8) + -1(6k + -3) = -15k (-32 + -8k) + -1(6k + -3) = -15k Reorder the terms: -32 + -8k + -1(-3 + 6k) = -15k -32 + -8k + (-3 * -1 + 6k * -1) = -15k -32 + -8k + (3 + -6k) = -15k Reorder the terms: -32 + 3 + -8k + -6k = -15k Combine like terms: -32 + 3 = -29 -29 + -8k + -6k = -15k Combine like terms: -8k + -6k = -14k -29 + -14k = -15k Solving -29 + -14k = -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -29 + -14k + 15k = -15k + 15k Combine like terms: -14k + 15k = 1k -29 + 1k = -15k + 15k Combine like terms: -15k + 15k = 0 -29 + 1k = 0 Add '29' to each side of the equation. -29 + 29 + 1k = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1k = 0 + 29 1k = 0 + 29 Combine like terms: 0 + 29 = 29 1k = 29 Divide each side by '1'. k = 29 Simplifying k = 29
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