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Simplifying 175 = 7(4k + 1) Reorder the terms: 175 = 7(1 + 4k) 175 = (1 * 7 + 4k * 7) 175 = (7 + 28k) Solving 175 = 7 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. 175 + -28k = 7 + 28k + -28k Combine like terms: 28k + -28k = 0 175 + -28k = 7 + 0 175 + -28k = 7 Add '-175' to each side of the equation. 175 + -175 + -28k = 7 + -175 Combine like terms: 175 + -175 = 0 0 + -28k = 7 + -175 -28k = 7 + -175 Combine like terms: 7 + -175 = -168 -28k = -168 Divide each side by '-28'. k = 6 Simplifying k = 6
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