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Simplifying 695 = 13(k + 5) + 32 Reorder the terms: 695 = 13(5 + k) + 32 695 = (5 * 13 + k * 13) + 32 695 = (65 + 13k) + 32 Reorder the terms: 695 = 65 + 32 + 13k Combine like terms: 65 + 32 = 97 695 = 97 + 13k Solving 695 = 97 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 695 + -13k = 97 + 13k + -13k Combine like terms: 13k + -13k = 0 695 + -13k = 97 + 0 695 + -13k = 97 Add '-695' to each side of the equation. 695 + -695 + -13k = 97 + -695 Combine like terms: 695 + -695 = 0 0 + -13k = 97 + -695 -13k = 97 + -695 Combine like terms: 97 + -695 = -598 -13k = -598 Divide each side by '-13'. k = 46 Simplifying k = 46
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