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Simplifying 10 + 3k = 4(8 + -6k) + 5 10 + 3k = (8 * 4 + -6k * 4) + 5 10 + 3k = (32 + -24k) + 5 Reorder the terms: 10 + 3k = 32 + 5 + -24k Combine like terms: 32 + 5 = 37 10 + 3k = 37 + -24k Solving 10 + 3k = 37 + -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. 10 + 3k + 24k = 37 + -24k + 24k Combine like terms: 3k + 24k = 27k 10 + 27k = 37 + -24k + 24k Combine like terms: -24k + 24k = 0 10 + 27k = 37 + 0 10 + 27k = 37 Add '-10' to each side of the equation. 10 + -10 + 27k = 37 + -10 Combine like terms: 10 + -10 = 0 0 + 27k = 37 + -10 27k = 37 + -10 Combine like terms: 37 + -10 = 27 27k = 27 Divide each side by '27'. k = 1 Simplifying k = 1
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