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Simplifying 180 = (65) + (4k + 5) + (6k + 1) 180 = 65 + (4k + 5) + (6k + 1) Reorder the terms: 180 = 65 + (5 + 4k) + (6k + 1) Remove parenthesis around (5 + 4k) 180 = 65 + 5 + 4k + (6k + 1) Reorder the terms: 180 = 65 + 5 + 4k + (1 + 6k) Remove parenthesis around (1 + 6k) 180 = 65 + 5 + 4k + 1 + 6k Reorder the terms: 180 = 65 + 5 + 1 + 4k + 6k Combine like terms: 65 + 5 = 70 180 = 70 + 1 + 4k + 6k Combine like terms: 70 + 1 = 71 180 = 71 + 4k + 6k Combine like terms: 4k + 6k = 10k 180 = 71 + 10k Solving 180 = 71 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 180 + -10k = 71 + 10k + -10k Combine like terms: 10k + -10k = 0 180 + -10k = 71 + 0 180 + -10k = 71 Add '-180' to each side of the equation. 180 + -180 + -10k = 71 + -180 Combine like terms: 180 + -180 = 0 0 + -10k = 71 + -180 -10k = 71 + -180 Combine like terms: 71 + -180 = -109 -10k = -109 Divide each side by '-10'. k = 10.9 Simplifying k = 10.9
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