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Simplifying 5k + 16 = -3k + 8(5k + 2) Reorder the terms: 16 + 5k = -3k + 8(5k + 2) Reorder the terms: 16 + 5k = -3k + 8(2 + 5k) 16 + 5k = -3k + (2 * 8 + 5k * 8) 16 + 5k = -3k + (16 + 40k) Reorder the terms: 16 + 5k = 16 + -3k + 40k Combine like terms: -3k + 40k = 37k 16 + 5k = 16 + 37k Add '-16' to each side of the equation. 16 + -16 + 5k = 16 + -16 + 37k Combine like terms: 16 + -16 = 0 0 + 5k = 16 + -16 + 37k 5k = 16 + -16 + 37k Combine like terms: 16 + -16 = 0 5k = 0 + 37k 5k = 37k Solving 5k = 37k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-37k' to each side of the equation. 5k + -37k = 37k + -37k Combine like terms: 5k + -37k = -32k -32k = 37k + -37k Combine like terms: 37k + -37k = 0 -32k = 0 Divide each side by '-32'. k = 0 Simplifying k = 0
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