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Simplifying 3.4d + -4.2 = -1.1(6d + 8) Reorder the terms: -4.2 + 3.4d = -1.1(6d + 8) Reorder the terms: -4.2 + 3.4d = -1.1(8 + 6d) -4.2 + 3.4d = (8 * -1.1 + 6d * -1.1) -4.2 + 3.4d = (-8.8 + -6.6d) Solving -4.2 + 3.4d = -8.8 + -6.6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6.6d' to each side of the equation. -4.2 + 3.4d + 6.6d = -8.8 + -6.6d + 6.6d Combine like terms: 3.4d + 6.6d = 10d -4.2 + 10d = -8.8 + -6.6d + 6.6d Combine like terms: -6.6d + 6.6d = 0.0 -4.2 + 10d = -8.8 + 0.0 -4.2 + 10d = -8.8 Add '4.2' to each side of the equation. -4.2 + 4.2 + 10d = -8.8 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 10d = -8.8 + 4.2 10d = -8.8 + 4.2 Combine like terms: -8.8 + 4.2 = -4.6 10d = -4.6 Divide each side by '10'. d = -0.46 Simplifying d = -0.46
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