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Simplifying 1(k + 1) * 4 = 7 Reorder the terms: 1(1 + k) * 4 = 7 Reorder the terms for easier multiplication: 1 * 4(1 + k) = 7 Multiply 1 * 4 4(1 + k) = 7 (1 * 4 + k * 4) = 7 (4 + 4k) = 7 Solving 4 + 4k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4k = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = 7 + -4 4k = 7 + -4 Combine like terms: 7 + -4 = 3 4k = 3 Divide each side by '4'. k = 0.75 Simplifying k = 0.75
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