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Simplifying 4(6d + -7) = -20 + -9d Reorder the terms: 4(-7 + 6d) = -20 + -9d (-7 * 4 + 6d * 4) = -20 + -9d (-28 + 24d) = -20 + -9d Solving -28 + 24d = -20 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. -28 + 24d + 9d = -20 + -9d + 9d Combine like terms: 24d + 9d = 33d -28 + 33d = -20 + -9d + 9d Combine like terms: -9d + 9d = 0 -28 + 33d = -20 + 0 -28 + 33d = -20 Add '28' to each side of the equation. -28 + 28 + 33d = -20 + 28 Combine like terms: -28 + 28 = 0 0 + 33d = -20 + 28 33d = -20 + 28 Combine like terms: -20 + 28 = 8 33d = 8 Divide each side by '33'. d = 0.2424242424 Simplifying d = 0.2424242424
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