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Simplifying 5(5k + -8) + -6(k + -3) = 4k + 4k Reorder the terms: 5(-8 + 5k) + -6(k + -3) = 4k + 4k (-8 * 5 + 5k * 5) + -6(k + -3) = 4k + 4k (-40 + 25k) + -6(k + -3) = 4k + 4k Reorder the terms: -40 + 25k + -6(-3 + k) = 4k + 4k -40 + 25k + (-3 * -6 + k * -6) = 4k + 4k -40 + 25k + (18 + -6k) = 4k + 4k Reorder the terms: -40 + 18 + 25k + -6k = 4k + 4k Combine like terms: -40 + 18 = -22 -22 + 25k + -6k = 4k + 4k Combine like terms: 25k + -6k = 19k -22 + 19k = 4k + 4k Combine like terms: 4k + 4k = 8k -22 + 19k = 8k Solving -22 + 19k = 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. -22 + 19k + -8k = 8k + -8k Combine like terms: 19k + -8k = 11k -22 + 11k = 8k + -8k Combine like terms: 8k + -8k = 0 -22 + 11k = 0 Add '22' to each side of the equation. -22 + 22 + 11k = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11k = 0 + 22 11k = 0 + 22 Combine like terms: 0 + 22 = 22 11k = 22 Divide each side by '11'. k = 2 Simplifying k = 2
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