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Simplifying -7(1 + 6k) = -3 + -7 (1 * -7 + 6k * -7) = -3 + -7 (-7 + -42k) = -3 + -7 Combine like terms: -3 + -7 = -10 -7 + -42k = -10 Solving -7 + -42k = -10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -42k = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -42k = -10 + 7 -42k = -10 + 7 Combine like terms: -10 + 7 = -3 -42k = -3 Divide each side by '-42'. k = 0.07142857143 Simplifying k = 0.07142857143
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