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Simplifying 2(2d + 1) + -3d = 5(3d + -2) + 4 Reorder the terms: 2(1 + 2d) + -3d = 5(3d + -2) + 4 (1 * 2 + 2d * 2) + -3d = 5(3d + -2) + 4 (2 + 4d) + -3d = 5(3d + -2) + 4 Combine like terms: 4d + -3d = 1d 2 + 1d = 5(3d + -2) + 4 Reorder the terms: 2 + 1d = 5(-2 + 3d) + 4 2 + 1d = (-2 * 5 + 3d * 5) + 4 2 + 1d = (-10 + 15d) + 4 Reorder the terms: 2 + 1d = -10 + 4 + 15d Combine like terms: -10 + 4 = -6 2 + 1d = -6 + 15d Solving 2 + 1d = -6 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 2 + 1d + -15d = -6 + 15d + -15d Combine like terms: 1d + -15d = -14d 2 + -14d = -6 + 15d + -15d Combine like terms: 15d + -15d = 0 2 + -14d = -6 + 0 2 + -14d = -6 Add '-2' to each side of the equation. 2 + -2 + -14d = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -14d = -6 + -2 -14d = -6 + -2 Combine like terms: -6 + -2 = -8 -14d = -8 Divide each side by '-14'. d = 0.5714285714 Simplifying d = 0.5714285714
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