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Simplifying (4k + 159) = (2k + 153) Reorder the terms: (159 + 4k) = (2k + 153) Remove parenthesis around (159 + 4k) 159 + 4k = (2k + 153) Reorder the terms: 159 + 4k = (153 + 2k) Remove parenthesis around (153 + 2k) 159 + 4k = 153 + 2k Solving 159 + 4k = 153 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 159 + 4k + -2k = 153 + 2k + -2k Combine like terms: 4k + -2k = 2k 159 + 2k = 153 + 2k + -2k Combine like terms: 2k + -2k = 0 159 + 2k = 153 + 0 159 + 2k = 153 Add '-159' to each side of the equation. 159 + -159 + 2k = 153 + -159 Combine like terms: 159 + -159 = 0 0 + 2k = 153 + -159 2k = 153 + -159 Combine like terms: 153 + -159 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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