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Simplifying -7(4 + 5k) = -6k + 1 (4 * -7 + 5k * -7) = -6k + 1 (-28 + -35k) = -6k + 1 Reorder the terms: -28 + -35k = 1 + -6k Solving -28 + -35k = 1 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -28 + -35k + 6k = 1 + -6k + 6k Combine like terms: -35k + 6k = -29k -28 + -29k = 1 + -6k + 6k Combine like terms: -6k + 6k = 0 -28 + -29k = 1 + 0 -28 + -29k = 1 Add '28' to each side of the equation. -28 + 28 + -29k = 1 + 28 Combine like terms: -28 + 28 = 0 0 + -29k = 1 + 28 -29k = 1 + 28 Combine like terms: 1 + 28 = 29 -29k = 29 Divide each side by '-29'. k = -1 Simplifying k = -1
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