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Simplifying 124 = 4(8k + 7) Reorder the terms: 124 = 4(7 + 8k) 124 = (7 * 4 + 8k * 4) 124 = (28 + 32k) Solving 124 = 28 + 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. 124 + -32k = 28 + 32k + -32k Combine like terms: 32k + -32k = 0 124 + -32k = 28 + 0 124 + -32k = 28 Add '-124' to each side of the equation. 124 + -124 + -32k = 28 + -124 Combine like terms: 124 + -124 = 0 0 + -32k = 28 + -124 -32k = 28 + -124 Combine like terms: 28 + -124 = -96 -32k = -96 Divide each side by '-32'. k = 3 Simplifying k = 3
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