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Simplifying 7(k + -2) = 7(6k + -7) Reorder the terms: 7(-2 + k) = 7(6k + -7) (-2 * 7 + k * 7) = 7(6k + -7) (-14 + 7k) = 7(6k + -7) Reorder the terms: -14 + 7k = 7(-7 + 6k) -14 + 7k = (-7 * 7 + 6k * 7) -14 + 7k = (-49 + 42k) Solving -14 + 7k = -49 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -14 + 7k + -42k = -49 + 42k + -42k Combine like terms: 7k + -42k = -35k -14 + -35k = -49 + 42k + -42k Combine like terms: 42k + -42k = 0 -14 + -35k = -49 + 0 -14 + -35k = -49 Add '14' to each side of the equation. -14 + 14 + -35k = -49 + 14 Combine like terms: -14 + 14 = 0 0 + -35k = -49 + 14 -35k = -49 + 14 Combine like terms: -49 + 14 = -35 -35k = -35 Divide each side by '-35'. k = 1 Simplifying k = 1
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