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Simplifying -7(6k + 7) = -5k + 25 Reorder the terms: -7(7 + 6k) = -5k + 25 (7 * -7 + 6k * -7) = -5k + 25 (-49 + -42k) = -5k + 25 Reorder the terms: -49 + -42k = 25 + -5k Solving -49 + -42k = 25 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -49 + -42k + 5k = 25 + -5k + 5k Combine like terms: -42k + 5k = -37k -49 + -37k = 25 + -5k + 5k Combine like terms: -5k + 5k = 0 -49 + -37k = 25 + 0 -49 + -37k = 25 Add '49' to each side of the equation. -49 + 49 + -37k = 25 + 49 Combine like terms: -49 + 49 = 0 0 + -37k = 25 + 49 -37k = 25 + 49 Combine like terms: 25 + 49 = 74 -37k = 74 Divide each side by '-37'. k = -2 Simplifying k = -2
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