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Simplifying -1(6k + -5) = 12(3k + -1) + -51 Reorder the terms: -1(-5 + 6k) = 12(3k + -1) + -51 (-5 * -1 + 6k * -1) = 12(3k + -1) + -51 (5 + -6k) = 12(3k + -1) + -51 Reorder the terms: 5 + -6k = 12(-1 + 3k) + -51 5 + -6k = (-1 * 12 + 3k * 12) + -51 5 + -6k = (-12 + 36k) + -51 Reorder the terms: 5 + -6k = -12 + -51 + 36k Combine like terms: -12 + -51 = -63 5 + -6k = -63 + 36k Solving 5 + -6k = -63 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. 5 + -6k + -36k = -63 + 36k + -36k Combine like terms: -6k + -36k = -42k 5 + -42k = -63 + 36k + -36k Combine like terms: 36k + -36k = 0 5 + -42k = -63 + 0 5 + -42k = -63 Add '-5' to each side of the equation. 5 + -5 + -42k = -63 + -5 Combine like terms: 5 + -5 = 0 0 + -42k = -63 + -5 -42k = -63 + -5 Combine like terms: -63 + -5 = -68 -42k = -68 Divide each side by '-42'. k = 1.619047619 Simplifying k = 1.619047619
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