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Simplifying -4 + -8(k + 3) = 35 + k Reorder the terms: -4 + -8(3 + k) = 35 + k -4 + (3 * -8 + k * -8) = 35 + k -4 + (-24 + -8k) = 35 + k Combine like terms: -4 + -24 = -28 -28 + -8k = 35 + k Solving -28 + -8k = 35 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -28 + -8k + -1k = 35 + k + -1k Combine like terms: -8k + -1k = -9k -28 + -9k = 35 + k + -1k Combine like terms: k + -1k = 0 -28 + -9k = 35 + 0 -28 + -9k = 35 Add '28' to each side of the equation. -28 + 28 + -9k = 35 + 28 Combine like terms: -28 + 28 = 0 0 + -9k = 35 + 28 -9k = 35 + 28 Combine like terms: 35 + 28 = 63 -9k = 63 Divide each side by '-9'. k = -7 Simplifying k = -7
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