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Simplifying 2(4x + 5) = 8x + k Reorder the terms: 2(5 + 4x) = 8x + k (5 * 2 + 4x * 2) = 8x + k (10 + 8x) = 8x + k Reorder the terms: 10 + 8x = k + 8x Add '-8x' to each side of the equation. 10 + 8x + -8x = k + 8x + -8x Combine like terms: 8x + -8x = 0 10 + 0 = k + 8x + -8x 10 = k + 8x + -8x Combine like terms: 8x + -8x = 0 10 = k + 0 10 = k Solving 10 = 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. 10 + -1k = k + -1k Combine like terms: k + -1k = 0 10 + -1k = 0 Add '-10' to each side of the equation. 10 + -10 + -1k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 0 + -10 -1k = 0 + -10 Combine like terms: 0 + -10 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10
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