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Simplifying 4(k + 2) = 2(k + -3) Reorder the terms: 4(2 + k) = 2(k + -3) (2 * 4 + k * 4) = 2(k + -3) (8 + 4k) = 2(k + -3) Reorder the terms: 8 + 4k = 2(-3 + k) 8 + 4k = (-3 * 2 + k * 2) 8 + 4k = (-6 + 2k) Solving 8 + 4k = -6 + 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. 8 + 4k + -2k = -6 + 2k + -2k Combine like terms: 4k + -2k = 2k 8 + 2k = -6 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + 2k = -6 + 0 8 + 2k = -6 Add '-8' to each side of the equation. 8 + -8 + 2k = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 2k = -6 + -8 2k = -6 + -8 Combine like terms: -6 + -8 = -14 2k = -14 Divide each side by '2'. k = -7 Simplifying k = -7
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