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Simplifying 7 + 8(1 + 4k) = 22 7 + (1 * 8 + 4k * 8) = 22 7 + (8 + 32k) = 22 Combine like terms: 7 + 8 = 15 15 + 32k = 22 Solving 15 + 32k = 22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 32k = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 32k = 22 + -15 32k = 22 + -15 Combine like terms: 22 + -15 = 7 32k = 7 Divide each side by '32'. k = 0.21875 Simplifying k = 0.21875
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