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Simplifying -8k + 25 = -3k + -7(1 + 3k) Reorder the terms: 25 + -8k = -3k + -7(1 + 3k) 25 + -8k = -3k + (1 * -7 + 3k * -7) 25 + -8k = -3k + (-7 + -21k) Reorder the terms: 25 + -8k = -7 + -3k + -21k Combine like terms: -3k + -21k = -24k 25 + -8k = -7 + -24k Solving 25 + -8k = -7 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 25 + -8k + 24k = -7 + -24k + 24k Combine like terms: -8k + 24k = 16k 25 + 16k = -7 + -24k + 24k Combine like terms: -24k + 24k = 0 25 + 16k = -7 + 0 25 + 16k = -7 Add '-25' to each side of the equation. 25 + -25 + 16k = -7 + -25 Combine like terms: 25 + -25 = 0 0 + 16k = -7 + -25 16k = -7 + -25 Combine like terms: -7 + -25 = -32 16k = -32 Divide each side by '16'. k = -2 Simplifying k = -2
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