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Simplifying 7(3 + -0.5k) = 3k + -5 (3 * 7 + -0.5k * 7) = 3k + -5 (21 + -3.5k) = 3k + -5 Reorder the terms: 21 + -3.5k = -5 + 3k Solving 21 + -3.5k = -5 + 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. 21 + -3.5k + -3k = -5 + 3k + -3k Combine like terms: -3.5k + -3k = -6.5k 21 + -6.5k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 21 + -6.5k = -5 + 0 21 + -6.5k = -5 Add '-21' to each side of the equation. 21 + -21 + -6.5k = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -6.5k = -5 + -21 -6.5k = -5 + -21 Combine like terms: -5 + -21 = -26 -6.5k = -26 Divide each side by '-6.5'. k = 4 Simplifying k = 4
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