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Simplifying -3 + -6(k + 1) = 2k + -25 Reorder the terms: -3 + -6(1 + k) = 2k + -25 -3 + (1 * -6 + k * -6) = 2k + -25 -3 + (-6 + -6k) = 2k + -25 Combine like terms: -3 + -6 = -9 -9 + -6k = 2k + -25 Reorder the terms: -9 + -6k = -25 + 2k Solving -9 + -6k = -25 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -9 + -6k + -2k = -25 + 2k + -2k Combine like terms: -6k + -2k = -8k -9 + -8k = -25 + 2k + -2k Combine like terms: 2k + -2k = 0 -9 + -8k = -25 + 0 -9 + -8k = -25 Add '9' to each side of the equation. -9 + 9 + -8k = -25 + 9 Combine like terms: -9 + 9 = 0 0 + -8k = -25 + 9 -8k = -25 + 9 Combine like terms: -25 + 9 = -16 -8k = -16 Divide each side by '-8'. k = 2 Simplifying k = 2
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