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Simplifying 2(4x + 10) = 8x + k Reorder the terms: 2(10 + 4x) = 8x + k (10 * 2 + 4x * 2) = 8x + k (20 + 8x) = 8x + k Reorder the terms: 20 + 8x = k + 8x Add '-8x' to each side of the equation. 20 + 8x + -8x = k + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 0 = k + 8x + -8x 20 = k + 8x + -8x Combine like terms: 8x + -8x = 0 20 = k + 0 20 = k Solving 20 = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 20 + -1k = k + -1k Combine like terms: k + -1k = 0 20 + -1k = 0 Add '-20' to each side of the equation. 20 + -20 + -1k = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1k = 0 + -20 -1k = 0 + -20 Combine like terms: 0 + -20 = -20 -1k = -20 Divide each side by '-1'. k = 20 Simplifying k = 20
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