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Simplifying 2(3d + -5) = 2d + 7 Reorder the terms: 2(-5 + 3d) = 2d + 7 (-5 * 2 + 3d * 2) = 2d + 7 (-10 + 6d) = 2d + 7 Reorder the terms: -10 + 6d = 7 + 2d Solving -10 + 6d = 7 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -10 + 6d + -2d = 7 + 2d + -2d Combine like terms: 6d + -2d = 4d -10 + 4d = 7 + 2d + -2d Combine like terms: 2d + -2d = 0 -10 + 4d = 7 + 0 -10 + 4d = 7 Add '10' to each side of the equation. -10 + 10 + 4d = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 4d = 7 + 10 4d = 7 + 10 Combine like terms: 7 + 10 = 17 4d = 17 Divide each side by '4'. d = 4.25 Simplifying d = 4.25
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