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Simplifying 2.4d + -77 + 22d = 78 + -7d + 11 Reorder the terms: -77 + 2.4d + 22d = 78 + -7d + 11 Combine like terms: 2.4d + 22d = 24.4d -77 + 24.4d = 78 + -7d + 11 Reorder the terms: -77 + 24.4d = 78 + 11 + -7d Combine like terms: 78 + 11 = 89 -77 + 24.4d = 89 + -7d Solving -77 + 24.4d = 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 + 24.4d + 7d = 89 + -7d + 7d Combine like terms: 24.4d + 7d = 31.4d -77 + 31.4d = 89 + -7d + 7d Combine like terms: -7d + 7d = 0 -77 + 31.4d = 89 + 0 -77 + 31.4d = 89 Add '77' to each side of the equation. -77 + 77 + 31.4d = 89 + 77 Combine like terms: -77 + 77 = 0 0 + 31.4d = 89 + 77 31.4d = 89 + 77 Combine like terms: 89 + 77 = 166 31.4d = 166 Divide each side by '31.4'. d = 5.286624204 Simplifying d = 5.286624204
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