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Simplifying -175 = -7(-6k + 1) Reorder the terms: -175 = -7(1 + -6k) -175 = (1 * -7 + -6k * -7) -175 = (-7 + 42k) Solving -175 = -7 + 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. -175 + -42k = -7 + 42k + -42k Combine like terms: 42k + -42k = 0 -175 + -42k = -7 + 0 -175 + -42k = -7 Add '175' to each side of the equation. -175 + 175 + -42k = -7 + 175 Combine like terms: -175 + 175 = 0 0 + -42k = -7 + 175 -42k = -7 + 175 Combine like terms: -7 + 175 = 168 -42k = 168 Divide each side by '-42'. k = -4 Simplifying k = -4
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