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Simplifying 5 + 5k = 3(8 + 8k) 5 + 5k = (8 * 3 + 8k * 3) 5 + 5k = (24 + 24k) Solving 5 + 5k = 24 + 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. 5 + 5k + -24k = 24 + 24k + -24k Combine like terms: 5k + -24k = -19k 5 + -19k = 24 + 24k + -24k Combine like terms: 24k + -24k = 0 5 + -19k = 24 + 0 5 + -19k = 24 Add '-5' to each side of the equation. 5 + -5 + -19k = 24 + -5 Combine like terms: 5 + -5 = 0 0 + -19k = 24 + -5 -19k = 24 + -5 Combine like terms: 24 + -5 = 19 -19k = 19 Divide each side by '-19'. k = -1 Simplifying k = -1
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