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Simplifying -5k + -2(8k + 5) = -10 + -4k Reorder the terms: -5k + -2(5 + 8k) = -10 + -4k -5k + (5 * -2 + 8k * -2) = -10 + -4k -5k + (-10 + -16k) = -10 + -4k Reorder the terms: -10 + -5k + -16k = -10 + -4k Combine like terms: -5k + -16k = -21k -10 + -21k = -10 + -4k Add '10' to each side of the equation. -10 + 10 + -21k = -10 + 10 + -4k Combine like terms: -10 + 10 = 0 0 + -21k = -10 + 10 + -4k -21k = -10 + 10 + -4k Combine like terms: -10 + 10 = 0 -21k = 0 + -4k -21k = -4k Solving -21k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -21k + 4k = -4k + 4k Combine like terms: -21k + 4k = -17k -17k = -4k + 4k Combine like terms: -4k + 4k = 0 -17k = 0 Divide each side by '-17'. k = 0 Simplifying k = 0
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