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Simplifying 24d + -77 + 22d = 78 + -7d + 11 Reorder the terms: -77 + 24d + 22d = 78 + -7d + 11 Combine like terms: 24d + 22d = 46d -77 + 46d = 78 + -7d + 11 Reorder the terms: -77 + 46d = 78 + 11 + -7d Combine like terms: 78 + 11 = 89 -77 + 46d = 89 + -7d Solving -77 + 46d = 89 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -77 + 46d + 7d = 89 + -7d + 7d Combine like terms: 46d + 7d = 53d -77 + 53d = 89 + -7d + 7d Combine like terms: -7d + 7d = 0 -77 + 53d = 89 + 0 -77 + 53d = 89 Add '77' to each side of the equation. -77 + 77 + 53d = 89 + 77 Combine like terms: -77 + 77 = 0 0 + 53d = 89 + 77 53d = 89 + 77 Combine like terms: 89 + 77 = 166 53d = 166 Divide each side by '53'. d = 3.132075472 Simplifying d = 3.132075472
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