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Simplifying 2(-3k + -1) = 3(-4 + -1) Reorder the terms: 2(-1 + -3k) = 3(-4 + -1) (-1 * 2 + -3k * 2) = 3(-4 + -1) (-2 + -6k) = 3(-4 + -1) Combine like terms: -4 + -1 = -5 -2 + -6k = 3(-5) Multiply 3 * -5 -2 + -6k = -15 Solving -2 + -6k = -15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -6k = -15 + 2 Combine like terms: -2 + 2 = 0 0 + -6k = -15 + 2 -6k = -15 + 2 Combine like terms: -15 + 2 = -13 -6k = -13 Divide each side by '-6'. k = 2.166666667 Simplifying k = 2.166666667
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