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Simplifying -5(k + 1) + 3 = -4k + -20 Reorder the terms: -5(1 + k) + 3 = -4k + -20 (1 * -5 + k * -5) + 3 = -4k + -20 (-5 + -5k) + 3 = -4k + -20 Reorder the terms: -5 + 3 + -5k = -4k + -20 Combine like terms: -5 + 3 = -2 -2 + -5k = -4k + -20 Reorder the terms: -2 + -5k = -20 + -4k Solving -2 + -5k = -20 + -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. -2 + -5k + 4k = -20 + -4k + 4k Combine like terms: -5k + 4k = -1k -2 + -1k = -20 + -4k + 4k Combine like terms: -4k + 4k = 0 -2 + -1k = -20 + 0 -2 + -1k = -20 Add '2' to each side of the equation. -2 + 2 + -1k = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = -20 + 2 -1k = -20 + 2 Combine like terms: -20 + 2 = -18 -1k = -18 Divide each side by '-1'. k = 18 Simplifying k = 18
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