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Simplifying (8 * 5) + (3 * 7) = k Multiply 8 * 5 (40) + (3 * 7) = k 40 + (3 * 7) = k Multiply 3 * 7 40 + (21) = k 40 + 21 = k Combine like terms: 40 + 21 = 61 61 = k Solving 61 = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 61 + -1k = k + -1k Combine like terms: k + -1k = 0 61 + -1k = 0 Add '-61' to each side of the equation. 61 + -61 + -1k = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -1k = 0 + -61 -1k = 0 + -61 Combine like terms: 0 + -61 = -61 -1k = -61 Divide each side by '-1'. k = 61 Simplifying k = 61
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