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Simplifying 2d + 8 = 3(4d + 10) Reorder the terms: 8 + 2d = 3(4d + 10) Reorder the terms: 8 + 2d = 3(10 + 4d) 8 + 2d = (10 * 3 + 4d * 3) 8 + 2d = (30 + 12d) Solving 8 + 2d = 30 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 8 + 2d + -12d = 30 + 12d + -12d Combine like terms: 2d + -12d = -10d 8 + -10d = 30 + 12d + -12d Combine like terms: 12d + -12d = 0 8 + -10d = 30 + 0 8 + -10d = 30 Add '-8' to each side of the equation. 8 + -8 + -10d = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -10d = 30 + -8 -10d = 30 + -8 Combine like terms: 30 + -8 = 22 -10d = 22 Divide each side by '-10'. d = -2.2 Simplifying d = -2.2
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