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Simplifying 35 + -5k = 5 + 8(k + 7) Reorder the terms: 35 + -5k = 5 + 8(7 + k) 35 + -5k = 5 + (7 * 8 + k * 8) 35 + -5k = 5 + (56 + 8k) Combine like terms: 5 + 56 = 61 35 + -5k = 61 + 8k Solving 35 + -5k = 61 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 35 + -5k + -8k = 61 + 8k + -8k Combine like terms: -5k + -8k = -13k 35 + -13k = 61 + 8k + -8k Combine like terms: 8k + -8k = 0 35 + -13k = 61 + 0 35 + -13k = 61 Add '-35' to each side of the equation. 35 + -35 + -13k = 61 + -35 Combine like terms: 35 + -35 = 0 0 + -13k = 61 + -35 -13k = 61 + -35 Combine like terms: 61 + -35 = 26 -13k = 26 Divide each side by '-13'. k = -2 Simplifying k = -2
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