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Simplifying 2(k + -6) = 6(4k + -2) Reorder the terms: 2(-6 + k) = 6(4k + -2) (-6 * 2 + k * 2) = 6(4k + -2) (-12 + 2k) = 6(4k + -2) Reorder the terms: -12 + 2k = 6(-2 + 4k) -12 + 2k = (-2 * 6 + 4k * 6) -12 + 2k = (-12 + 24k) Add '12' to each side of the equation. -12 + 12 + 2k = -12 + 12 + 24k Combine like terms: -12 + 12 = 0 0 + 2k = -12 + 12 + 24k 2k = -12 + 12 + 24k Combine like terms: -12 + 12 = 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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