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Simplifying 2(3d + -5) + -5(d + 2) = 4d + 10 Reorder the terms: 2(-5 + 3d) + -5(d + 2) = 4d + 10 (-5 * 2 + 3d * 2) + -5(d + 2) = 4d + 10 (-10 + 6d) + -5(d + 2) = 4d + 10 Reorder the terms: -10 + 6d + -5(2 + d) = 4d + 10 -10 + 6d + (2 * -5 + d * -5) = 4d + 10 -10 + 6d + (-10 + -5d) = 4d + 10 Reorder the terms: -10 + -10 + 6d + -5d = 4d + 10 Combine like terms: -10 + -10 = -20 -20 + 6d + -5d = 4d + 10 Combine like terms: 6d + -5d = 1d -20 + 1d = 4d + 10 Reorder the terms: -20 + 1d = 10 + 4d Solving -20 + 1d = 10 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -20 + 1d + -4d = 10 + 4d + -4d Combine like terms: 1d + -4d = -3d -20 + -3d = 10 + 4d + -4d Combine like terms: 4d + -4d = 0 -20 + -3d = 10 + 0 -20 + -3d = 10 Add '20' to each side of the equation. -20 + 20 + -3d = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -3d = 10 + 20 -3d = 10 + 20 Combine like terms: 10 + 20 = 30 -3d = 30 Divide each side by '-3'. d = -10 Simplifying d = -10
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