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Simplifying -25 = 4(5k + -7) + 3(1 + 3k) Reorder the terms: -25 = 4(-7 + 5k) + 3(1 + 3k) -25 = (-7 * 4 + 5k * 4) + 3(1 + 3k) -25 = (-28 + 20k) + 3(1 + 3k) -25 = -28 + 20k + (1 * 3 + 3k * 3) -25 = -28 + 20k + (3 + 9k) Reorder the terms: -25 = -28 + 3 + 20k + 9k Combine like terms: -28 + 3 = -25 -25 = -25 + 20k + 9k Combine like terms: 20k + 9k = 29k -25 = -25 + 29k Add '25' to each side of the equation. -25 + 25 = -25 + 25 + 29k Combine like terms: -25 + 25 = 0 0 = -25 + 25 + 29k Combine like terms: -25 + 25 = 0 0 = 0 + 29k 0 = 29k Solving 0 = 29k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29k' to each side of the equation. 0 + -29k = 29k + -29k Remove the zero: -29k = 29k + -29k Combine like terms: 29k + -29k = 0 -29k = 0 Divide each side by '-29'. k = 0 Simplifying k = 0
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