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Simplifying 9.7 + -4.8(2d + 9) + 0.3 + 2d = 0 Reorder the terms: 9.7 + -4.8(9 + 2d) + 0.3 + 2d = 0 9.7 + (9 * -4.8 + 2d * -4.8) + 0.3 + 2d = 0 9.7 + (-43.2 + -9.6d) + 0.3 + 2d = 0 Reorder the terms: 9.7 + -43.2 + 0.3 + -9.6d + 2d = 0 Combine like terms: 9.7 + -43.2 = -33.5 -33.5 + 0.3 + -9.6d + 2d = 0 Combine like terms: -33.5 + 0.3 = -33.2 -33.2 + -9.6d + 2d = 0 Combine like terms: -9.6d + 2d = -7.6d -33.2 + -7.6d = 0 Solving -33.2 + -7.6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '33.2' to each side of the equation. -33.2 + 33.2 + -7.6d = 0 + 33.2 Combine like terms: -33.2 + 33.2 = 0.0 0.0 + -7.6d = 0 + 33.2 -7.6d = 0 + 33.2 Combine like terms: 0 + 33.2 = 33.2 -7.6d = 33.2 Divide each side by '-7.6'. d = -4.368421053 Simplifying d = -4.368421053
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