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Simplifying -30 + -2k = -8(k + 3) Reorder the terms: -30 + -2k = -8(3 + k) -30 + -2k = (3 * -8 + k * -8) -30 + -2k = (-24 + -8k) Solving -30 + -2k = -24 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -30 + -2k + 8k = -24 + -8k + 8k Combine like terms: -2k + 8k = 6k -30 + 6k = -24 + -8k + 8k Combine like terms: -8k + 8k = 0 -30 + 6k = -24 + 0 -30 + 6k = -24 Add '30' to each side of the equation. -30 + 30 + 6k = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 6k = -24 + 30 6k = -24 + 30 Combine like terms: -24 + 30 = 6 6k = 6 Divide each side by '6'. k = 1 Simplifying k = 1
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