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Simplifying -357 = -7 + 7(-2 + 6k) -357 = -7 + (-2 * 7 + 6k * 7) -357 = -7 + (-14 + 42k) Combine like terms: -7 + -14 = -21 -357 = -21 + 42k Solving -357 = -21 + 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. -357 + -42k = -21 + 42k + -42k Combine like terms: 42k + -42k = 0 -357 + -42k = -21 + 0 -357 + -42k = -21 Add '357' to each side of the equation. -357 + 357 + -42k = -21 + 357 Combine like terms: -357 + 357 = 0 0 + -42k = -21 + 357 -42k = -21 + 357 Combine like terms: -21 + 357 = 336 -42k = 336 Divide each side by '-42'. k = -8 Simplifying k = -8
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