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Simplifying 3(5k + 7) = (-2)(-4) Reorder the terms: 3(7 + 5k) = (-2)(-4) (7 * 3 + 5k * 3) = (-2)(-4) (21 + 15k) = (-2)(-4) Multiply -2 * -4 21 + 15k = 8 Solving 21 + 15k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 15k = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 15k = 8 + -21 15k = 8 + -21 Combine like terms: 8 + -21 = -13 15k = -13 Divide each side by '15'. k = -0.8666666667 Simplifying k = -0.8666666667
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