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Simplifying -30 + 5k = 8(k + -3) Reorder the terms: -30 + 5k = 8(-3 + k) -30 + 5k = (-3 * 8 + k * 8) -30 + 5k = (-24 + 8k) Solving -30 + 5k = -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 + 5k + -8k = -24 + 8k + -8k Combine like terms: 5k + -8k = -3k -30 + -3k = -24 + 8k + -8k Combine like terms: 8k + -8k = 0 -30 + -3k = -24 + 0 -30 + -3k = -24 Add '30' to each side of the equation. -30 + 30 + -3k = -24 + 30 Combine like terms: -30 + 30 = 0 0 + -3k = -24 + 30 -3k = -24 + 30 Combine like terms: -24 + 30 = 6 -3k = 6 Divide each side by '-3'. k = -2 Simplifying k = -2
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