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Simplifying 10(k + 8) = -2(-3k + 2) Reorder the terms: 10(8 + k) = -2(-3k + 2) (8 * 10 + k * 10) = -2(-3k + 2) (80 + 10k) = -2(-3k + 2) Reorder the terms: 80 + 10k = -2(2 + -3k) 80 + 10k = (2 * -2 + -3k * -2) 80 + 10k = (-4 + 6k) Solving 80 + 10k = -4 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 80 + 10k + -6k = -4 + 6k + -6k Combine like terms: 10k + -6k = 4k 80 + 4k = -4 + 6k + -6k Combine like terms: 6k + -6k = 0 80 + 4k = -4 + 0 80 + 4k = -4 Add '-80' to each side of the equation. 80 + -80 + 4k = -4 + -80 Combine like terms: 80 + -80 = 0 0 + 4k = -4 + -80 4k = -4 + -80 Combine like terms: -4 + -80 = -84 4k = -84 Divide each side by '4'. k = -21 Simplifying k = -21
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