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Simplifying -3(k + 10) + -10(k + -2) = 6 + -9k + -4 Reorder the terms: -3(10 + k) + -10(k + -2) = 6 + -9k + -4 (10 * -3 + k * -3) + -10(k + -2) = 6 + -9k + -4 (-30 + -3k) + -10(k + -2) = 6 + -9k + -4 Reorder the terms: -30 + -3k + -10(-2 + k) = 6 + -9k + -4 -30 + -3k + (-2 * -10 + k * -10) = 6 + -9k + -4 -30 + -3k + (20 + -10k) = 6 + -9k + -4 Reorder the terms: -30 + 20 + -3k + -10k = 6 + -9k + -4 Combine like terms: -30 + 20 = -10 -10 + -3k + -10k = 6 + -9k + -4 Combine like terms: -3k + -10k = -13k -10 + -13k = 6 + -9k + -4 Reorder the terms: -10 + -13k = 6 + -4 + -9k Combine like terms: 6 + -4 = 2 -10 + -13k = 2 + -9k Solving -10 + -13k = 2 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -10 + -13k + 9k = 2 + -9k + 9k Combine like terms: -13k + 9k = -4k -10 + -4k = 2 + -9k + 9k Combine like terms: -9k + 9k = 0 -10 + -4k = 2 + 0 -10 + -4k = 2 Add '10' to each side of the equation. -10 + 10 + -4k = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -4k = 2 + 10 -4k = 2 + 10 Combine like terms: 2 + 10 = 12 -4k = 12 Divide each side by '-4'. k = -3 Simplifying k = -3
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