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Simplifying 7 + -1(2k + 3) = 3k Reorder the terms: 7 + -1(3 + 2k) = 3k 7 + (3 * -1 + 2k * -1) = 3k 7 + (-3 + -2k) = 3k Combine like terms: 7 + -3 = 4 4 + -2k = 3k Solving 4 + -2k = 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. 4 + -2k + -3k = 3k + -3k Combine like terms: -2k + -3k = -5k 4 + -5k = 3k + -3k Combine like terms: 3k + -3k = 0 4 + -5k = 0 Add '-4' to each side of the equation. 4 + -4 + -5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = 0 + -4 -5k = 0 + -4 Combine like terms: 0 + -4 = -4 -5k = -4 Divide each side by '-5'. k = 0.8 Simplifying k = 0.8
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