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Simplifying (5k + -25) + -1(6k + 2) + 7 = 0 Reorder the terms: (-25 + 5k) + -1(6k + 2) + 7 = 0 Remove parenthesis around (-25 + 5k) -25 + 5k + -1(6k + 2) + 7 = 0 Reorder the terms: -25 + 5k + -1(2 + 6k) + 7 = 0 -25 + 5k + (2 * -1 + 6k * -1) + 7 = 0 -25 + 5k + (-2 + -6k) + 7 = 0 Reorder the terms: -25 + -2 + 7 + 5k + -6k = 0 Combine like terms: -25 + -2 = -27 -27 + 7 + 5k + -6k = 0 Combine like terms: -27 + 7 = -20 -20 + 5k + -6k = 0 Combine like terms: 5k + -6k = -1k -20 + -1k = 0 Solving -20 + -1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1k = 0 + 20 -1k = 0 + 20 Combine like terms: 0 + 20 = 20 -1k = 20 Divide each side by '-1'. k = -20 Simplifying k = -20
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