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Simplifying 211 = -5 + 8(3 + 3k) 211 = -5 + (3 * 8 + 3k * 8) 211 = -5 + (24 + 24k) Combine like terms: -5 + 24 = 19 211 = 19 + 24k Solving 211 = 19 + 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. 211 + -24k = 19 + 24k + -24k Combine like terms: 24k + -24k = 0 211 + -24k = 19 + 0 211 + -24k = 19 Add '-211' to each side of the equation. 211 + -211 + -24k = 19 + -211 Combine like terms: 211 + -211 = 0 0 + -24k = 19 + -211 -24k = 19 + -211 Combine like terms: 19 + -211 = -192 -24k = -192 Divide each side by '-24'. k = 8 Simplifying k = 8
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