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