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Simplifying 4(2d + -3) + -2(2d + -1) = 0 Reorder the terms: 4(-3 + 2d) + -2(2d + -1) = 0 (-3 * 4 + 2d * 4) + -2(2d + -1) = 0 (-12 + 8d) + -2(2d + -1) = 0 Reorder the terms: -12 + 8d + -2(-1 + 2d) = 0 -12 + 8d + (-1 * -2 + 2d * -2) = 0 -12 + 8d + (2 + -4d) = 0 Reorder the terms: -12 + 2 + 8d + -4d = 0 Combine like terms: -12 + 2 = -10 -10 + 8d + -4d = 0 Combine like terms: 8d + -4d = 4d -10 + 4d = 0 Solving -10 + 4d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4d = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4d = 0 + 10 4d = 0 + 10 Combine like terms: 0 + 10 = 10 4d = 10 Divide each side by '4'. d = 2.5 Simplifying d = 2.5
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