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Simplifying 3.5d + -4.1 = -1.5(8d + 8) Reorder the terms: -4.1 + 3.5d = -1.5(8d + 8) Reorder the terms: -4.1 + 3.5d = -1.5(8 + 8d) -4.1 + 3.5d = (8 * -1.5 + 8d * -1.5) -4.1 + 3.5d = (-12 + -12d) Solving -4.1 + 3.5d = -12 + -12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12d' to each side of the equation. -4.1 + 3.5d + 12d = -12 + -12d + 12d Combine like terms: 3.5d + 12d = 15.5d -4.1 + 15.5d = -12 + -12d + 12d Combine like terms: -12d + 12d = 0 -4.1 + 15.5d = -12 + 0 -4.1 + 15.5d = -12 Add '4.1' to each side of the equation. -4.1 + 4.1 + 15.5d = -12 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 15.5d = -12 + 4.1 15.5d = -12 + 4.1 Combine like terms: -12 + 4.1 = -7.9 15.5d = -7.9 Divide each side by '15.5'. d = -0.5096774194 Simplifying d = -0.5096774194
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