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Simplifying -10 + 5k = 8(k + -2) Reorder the terms: -10 + 5k = 8(-2 + k) -10 + 5k = (-2 * 8 + k * 8) -10 + 5k = (-16 + 8k) Solving -10 + 5k = -16 + 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. -10 + 5k + -8k = -16 + 8k + -8k Combine like terms: 5k + -8k = -3k -10 + -3k = -16 + 8k + -8k Combine like terms: 8k + -8k = 0 -10 + -3k = -16 + 0 -10 + -3k = -16 Add '10' to each side of the equation. -10 + 10 + -3k = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = -16 + 10 -3k = -16 + 10 Combine like terms: -16 + 10 = -6 -3k = -6 Divide each side by '-3'. k = 2 Simplifying k = 2
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