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Simplifying 26 = -4(-6k + -2) + 3(8k + 6) Reorder the terms: 26 = -4(-2 + -6k) + 3(8k + 6) 26 = (-2 * -4 + -6k * -4) + 3(8k + 6) 26 = (8 + 24k) + 3(8k + 6) Reorder the terms: 26 = 8 + 24k + 3(6 + 8k) 26 = 8 + 24k + (6 * 3 + 8k * 3) 26 = 8 + 24k + (18 + 24k) Reorder the terms: 26 = 8 + 18 + 24k + 24k Combine like terms: 8 + 18 = 26 26 = 26 + 24k + 24k Combine like terms: 24k + 24k = 48k 26 = 26 + 48k Add '-26' to each side of the equation. 26 + -26 = 26 + -26 + 48k Combine like terms: 26 + -26 = 0 0 = 26 + -26 + 48k Combine like terms: 26 + -26 = 0 0 = 0 + 48k 0 = 48k Solving 0 = 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. 0 + -48k = 48k + -48k Remove the zero: -48k = 48k + -48k Combine like terms: 48k + -48k = 0 -48k = 0 Divide each side by '-48'. k = 0 Simplifying k = 0
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