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Simplifying -25 = -3(2k + -1) + -8(k + 7) Reorder the terms: -25 = -3(-1 + 2k) + -8(k + 7) -25 = (-1 * -3 + 2k * -3) + -8(k + 7) -25 = (3 + -6k) + -8(k + 7) Reorder the terms: -25 = 3 + -6k + -8(7 + k) -25 = 3 + -6k + (7 * -8 + k * -8) -25 = 3 + -6k + (-56 + -8k) Reorder the terms: -25 = 3 + -56 + -6k + -8k Combine like terms: 3 + -56 = -53 -25 = -53 + -6k + -8k Combine like terms: -6k + -8k = -14k -25 = -53 + -14k Solving -25 = -53 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -25 + 14k = -53 + -14k + 14k Combine like terms: -14k + 14k = 0 -25 + 14k = -53 + 0 -25 + 14k = -53 Add '25' to each side of the equation. -25 + 25 + 14k = -53 + 25 Combine like terms: -25 + 25 = 0 0 + 14k = -53 + 25 14k = -53 + 25 Combine like terms: -53 + 25 = -28 14k = -28 Divide each side by '14'. k = -2 Simplifying k = -2
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