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Simplifying -6(10 + 4k) + -2 = 0 (10 * -6 + 4k * -6) + -2 = 0 (-60 + -24k) + -2 = 0 Reorder the terms: -60 + -2 + -24k = 0 Combine like terms: -60 + -2 = -62 -62 + -24k = 0 Solving -62 + -24k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -24k = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -24k = 0 + 62 -24k = 0 + 62 Combine like terms: 0 + 62 = 62 -24k = 62 Divide each side by '-24'. k = -2.583333333 Simplifying k = -2.583333333
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