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Simplifying 9(k + -4) + -1(-2k + -8) = 10k Reorder the terms: 9(-4 + k) + -1(-2k + -8) = 10k (-4 * 9 + k * 9) + -1(-2k + -8) = 10k (-36 + 9k) + -1(-2k + -8) = 10k Reorder the terms: -36 + 9k + -1(-8 + -2k) = 10k -36 + 9k + (-8 * -1 + -2k * -1) = 10k -36 + 9k + (8 + 2k) = 10k Reorder the terms: -36 + 8 + 9k + 2k = 10k Combine like terms: -36 + 8 = -28 -28 + 9k + 2k = 10k Combine like terms: 9k + 2k = 11k -28 + 11k = 10k Solving -28 + 11k = 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -28 + 11k + -10k = 10k + -10k Combine like terms: 11k + -10k = 1k -28 + 1k = 10k + -10k Combine like terms: 10k + -10k = 0 -28 + 1k = 0 Add '28' to each side of the equation. -28 + 28 + 1k = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 1k = 0 + 28 1k = 0 + 28 Combine like terms: 0 + 28 = 28 1k = 28 Divide each side by '1'. k = 28 Simplifying k = 28
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