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Simplifying -7(5k + -3) + 2k = 4k + 21 Reorder the terms: -7(-3 + 5k) + 2k = 4k + 21 (-3 * -7 + 5k * -7) + 2k = 4k + 21 (21 + -35k) + 2k = 4k + 21 Combine like terms: -35k + 2k = -33k 21 + -33k = 4k + 21 Reorder the terms: 21 + -33k = 21 + 4k Add '-21' to each side of the equation. 21 + -21 + -33k = 21 + -21 + 4k Combine like terms: 21 + -21 = 0 0 + -33k = 21 + -21 + 4k -33k = 21 + -21 + 4k Combine like terms: 21 + -21 = 0 -33k = 0 + 4k -33k = 4k Solving -33k = 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. -33k + -4k = 4k + -4k Combine like terms: -33k + -4k = -37k -37k = 4k + -4k Combine like terms: 4k + -4k = 0 -37k = 0 Divide each side by '-37'. k = 0 Simplifying k = 0
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