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Simplifying -4k + 3 = 4k + 42 Reorder the terms: 3 + -4k = 4k + 42 Reorder the terms: 3 + -4k = 42 + 4k Solving 3 + -4k = 42 + 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. 3 + -4k + -4k = 42 + 4k + -4k Combine like terms: -4k + -4k = -8k 3 + -8k = 42 + 4k + -4k Combine like terms: 4k + -4k = 0 3 + -8k = 42 + 0 3 + -8k = 42 Add '-3' to each side of the equation. 3 + -3 + -8k = 42 + -3 Combine like terms: 3 + -3 = 0 0 + -8k = 42 + -3 -8k = 42 + -3 Combine like terms: 42 + -3 = 39 -8k = 39 Divide each side by '-8'. k = -4.875 Simplifying k = -4.875
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