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Simplifying -8 + -2k = -8(3k + 1) Reorder the terms: -8 + -2k = -8(1 + 3k) -8 + -2k = (1 * -8 + 3k * -8) -8 + -2k = (-8 + -24k) Add '8' to each side of the equation. -8 + 8 + -2k = -8 + 8 + -24k Combine like terms: -8 + 8 = 0 0 + -2k = -8 + 8 + -24k -2k = -8 + 8 + -24k Combine like terms: -8 + 8 = 0 -2k = 0 + -24k -2k = -24k Solving -2k = -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -2k + 24k = -24k + 24k Combine like terms: -2k + 24k = 22k 22k = -24k + 24k Combine like terms: -24k + 24k = 0 22k = 0 Divide each side by '22'. k = 0 Simplifying k = 0
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