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Simplifying 8d + -10 = 3(d + 10) Reorder the terms: -10 + 8d = 3(d + 10) Reorder the terms: -10 + 8d = 3(10 + d) -10 + 8d = (10 * 3 + d * 3) -10 + 8d = (30 + 3d) Solving -10 + 8d = 30 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -10 + 8d + -3d = 30 + 3d + -3d Combine like terms: 8d + -3d = 5d -10 + 5d = 30 + 3d + -3d Combine like terms: 3d + -3d = 0 -10 + 5d = 30 + 0 -10 + 5d = 30 Add '10' to each side of the equation. -10 + 10 + 5d = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 5d = 30 + 10 5d = 30 + 10 Combine like terms: 30 + 10 = 40 5d = 40 Divide each side by '5'. d = 8 Simplifying d = 8
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