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Simplifying -1(-1k + 2) + -3(-7 + 5k) = -51 Reorder the terms: -1(2 + -1k) + -3(-7 + 5k) = -51 (2 * -1 + -1k * -1) + -3(-7 + 5k) = -51 (-2 + 1k) + -3(-7 + 5k) = -51 -2 + 1k + (-7 * -3 + 5k * -3) = -51 -2 + 1k + (21 + -15k) = -51 Reorder the terms: -2 + 21 + 1k + -15k = -51 Combine like terms: -2 + 21 = 19 19 + 1k + -15k = -51 Combine like terms: 1k + -15k = -14k 19 + -14k = -51 Solving 19 + -14k = -51 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -14k = -51 + -19 Combine like terms: 19 + -19 = 0 0 + -14k = -51 + -19 -14k = -51 + -19 Combine like terms: -51 + -19 = -70 -14k = -70 Divide each side by '-14'. k = 5 Simplifying k = 5
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