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Simplifying 258 = 6(d + 28) Reorder the terms: 258 = 6(28 + d) 258 = (28 * 6 + d * 6) 258 = (168 + 6d) Solving 258 = 168 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 258 + -6d = 168 + 6d + -6d Combine like terms: 6d + -6d = 0 258 + -6d = 168 + 0 258 + -6d = 168 Add '-258' to each side of the equation. 258 + -258 + -6d = 168 + -258 Combine like terms: 258 + -258 = 0 0 + -6d = 168 + -258 -6d = 168 + -258 Combine like terms: 168 + -258 = -90 -6d = -90 Divide each side by '-6'. d = 15 Simplifying d = 15
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