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Simplifying 2(5k + -7) = -9k + 8(k + 1) Reorder the terms: 2(-7 + 5k) = -9k + 8(k + 1) (-7 * 2 + 5k * 2) = -9k + 8(k + 1) (-14 + 10k) = -9k + 8(k + 1) Reorder the terms: -14 + 10k = -9k + 8(1 + k) -14 + 10k = -9k + (1 * 8 + k * 8) -14 + 10k = -9k + (8 + 8k) Reorder the terms: -14 + 10k = 8 + -9k + 8k Combine like terms: -9k + 8k = -1k -14 + 10k = 8 + -1k Solving -14 + 10k = 8 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -14 + 10k + k = 8 + -1k + k Combine like terms: 10k + k = 11k -14 + 11k = 8 + -1k + k Combine like terms: -1k + k = 0 -14 + 11k = 8 + 0 -14 + 11k = 8 Add '14' to each side of the equation. -14 + 14 + 11k = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 11k = 8 + 14 11k = 8 + 14 Combine like terms: 8 + 14 = 22 11k = 22 Divide each side by '11'. k = 2 Simplifying k = 2
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