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Simplifying 2(3d + -5) = -4(-1d + 2) Reorder the terms: 2(-5 + 3d) = -4(-1d + 2) (-5 * 2 + 3d * 2) = -4(-1d + 2) (-10 + 6d) = -4(-1d + 2) Reorder the terms: -10 + 6d = -4(2 + -1d) -10 + 6d = (2 * -4 + -1d * -4) -10 + 6d = (-8 + 4d) Solving -10 + 6d = -8 + 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. -10 + 6d + -4d = -8 + 4d + -4d Combine like terms: 6d + -4d = 2d -10 + 2d = -8 + 4d + -4d Combine like terms: 4d + -4d = 0 -10 + 2d = -8 + 0 -10 + 2d = -8 Add '10' to each side of the equation. -10 + 10 + 2d = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2d = -8 + 10 2d = -8 + 10 Combine like terms: -8 + 10 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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