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Simplifying 7 + -8(k + 3) = -10 + -9k Reorder the terms: 7 + -8(3 + k) = -10 + -9k 7 + (3 * -8 + k * -8) = -10 + -9k 7 + (-24 + -8k) = -10 + -9k Combine like terms: 7 + -24 = -17 -17 + -8k = -10 + -9k Solving -17 + -8k = -10 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -17 + -8k + 9k = -10 + -9k + 9k Combine like terms: -8k + 9k = 1k -17 + 1k = -10 + -9k + 9k Combine like terms: -9k + 9k = 0 -17 + 1k = -10 + 0 -17 + 1k = -10 Add '17' to each side of the equation. -17 + 17 + 1k = -10 + 17 Combine like terms: -17 + 17 = 0 0 + 1k = -10 + 17 1k = -10 + 17 Combine like terms: -10 + 17 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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