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Simplifying -4k + -3 = -3(2k + -5) + 5k Reorder the terms: -3 + -4k = -3(2k + -5) + 5k Reorder the terms: -3 + -4k = -3(-5 + 2k) + 5k -3 + -4k = (-5 * -3 + 2k * -3) + 5k -3 + -4k = (15 + -6k) + 5k Combine like terms: -6k + 5k = -1k -3 + -4k = 15 + -1k Solving -3 + -4k = 15 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -3 + -4k + k = 15 + -1k + k Combine like terms: -4k + k = -3k -3 + -3k = 15 + -1k + k Combine like terms: -1k + k = 0 -3 + -3k = 15 + 0 -3 + -3k = 15 Add '3' to each side of the equation. -3 + 3 + -3k = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -3k = 15 + 3 -3k = 15 + 3 Combine like terms: 15 + 3 = 18 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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