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Simplifying 4 + 4(k + -5) = -23 + 3k Reorder the terms: 4 + 4(-5 + k) = -23 + 3k 4 + (-5 * 4 + k * 4) = -23 + 3k 4 + (-20 + 4k) = -23 + 3k Combine like terms: 4 + -20 = -16 -16 + 4k = -23 + 3k Solving -16 + 4k = -23 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -16 + 4k + -3k = -23 + 3k + -3k Combine like terms: 4k + -3k = 1k -16 + 1k = -23 + 3k + -3k Combine like terms: 3k + -3k = 0 -16 + 1k = -23 + 0 -16 + 1k = -23 Add '16' to each side of the equation. -16 + 16 + 1k = -23 + 16 Combine like terms: -16 + 16 = 0 0 + 1k = -23 + 16 1k = -23 + 16 Combine like terms: -23 + 16 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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