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Simplifying 4(-1 + -3k) + -3k = 37 (-1 * 4 + -3k * 4) + -3k = 37 (-4 + -12k) + -3k = 37 Combine like terms: -12k + -3k = -15k -4 + -15k = 37 Solving -4 + -15k = 37 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -15k = 37 + 4 Combine like terms: -4 + 4 = 0 0 + -15k = 37 + 4 -15k = 37 + 4 Combine like terms: 37 + 4 = 41 -15k = 41 Divide each side by '-15'. k = -2.733333333 Simplifying k = -2.733333333
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