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Simplifying 4 + 5(-3k + 7) = 10 Reorder the terms: 4 + 5(7 + -3k) = 10 4 + (7 * 5 + -3k * 5) = 10 4 + (35 + -15k) = 10 Combine like terms: 4 + 35 = 39 39 + -15k = 10 Solving 39 + -15k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -15k = 10 + -39 Combine like terms: 39 + -39 = 0 0 + -15k = 10 + -39 -15k = 10 + -39 Combine like terms: 10 + -39 = -29 -15k = -29 Divide each side by '-15'. k = 1.933333333 Simplifying k = 1.933333333
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