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Simplifying 148 = 4(8k + 5) Reorder the terms: 148 = 4(5 + 8k) 148 = (5 * 4 + 8k * 4) 148 = (20 + 32k) Solving 148 = 20 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 148 + -32k = 20 + 32k + -32k Combine like terms: 32k + -32k = 0 148 + -32k = 20 + 0 148 + -32k = 20 Add '-148' to each side of the equation. 148 + -148 + -32k = 20 + -148 Combine like terms: 148 + -148 = 0 0 + -32k = 20 + -148 -32k = 20 + -148 Combine like terms: 20 + -148 = -128 -32k = -128 Divide each side by '-32'. k = 4 Simplifying k = 4
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