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Simplifying 3.5d + -4.2 = -1.6(4d + 4) Reorder the terms: -4.2 + 3.5d = -1.6(4d + 4) Reorder the terms: -4.2 + 3.5d = -1.6(4 + 4d) -4.2 + 3.5d = (4 * -1.6 + 4d * -1.6) -4.2 + 3.5d = (-6.4 + -6.4d) Solving -4.2 + 3.5d = -6.4 + -6.4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6.4d' to each side of the equation. -4.2 + 3.5d + 6.4d = -6.4 + -6.4d + 6.4d Combine like terms: 3.5d + 6.4d = 9.9d -4.2 + 9.9d = -6.4 + -6.4d + 6.4d Combine like terms: -6.4d + 6.4d = 0.0 -4.2 + 9.9d = -6.4 + 0.0 -4.2 + 9.9d = -6.4 Add '4.2' to each side of the equation. -4.2 + 4.2 + 9.9d = -6.4 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 9.9d = -6.4 + 4.2 9.9d = -6.4 + 4.2 Combine like terms: -6.4 + 4.2 = -2.2 9.9d = -2.2 Divide each side by '9.9'. d = -0.2222222222 Simplifying d = -0.2222222222
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