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Simplifying 3d + 2(d + 1) = 5(3d + -7) Reorder the terms: 3d + 2(1 + d) = 5(3d + -7) 3d + (1 * 2 + d * 2) = 5(3d + -7) 3d + (2 + 2d) = 5(3d + -7) Reorder the terms: 2 + 3d + 2d = 5(3d + -7) Combine like terms: 3d + 2d = 5d 2 + 5d = 5(3d + -7) Reorder the terms: 2 + 5d = 5(-7 + 3d) 2 + 5d = (-7 * 5 + 3d * 5) 2 + 5d = (-35 + 15d) Solving 2 + 5d = -35 + 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 + 5d + -15d = -35 + 15d + -15d Combine like terms: 5d + -15d = -10d 2 + -10d = -35 + 15d + -15d Combine like terms: 15d + -15d = 0 2 + -10d = -35 + 0 2 + -10d = -35 Add '-2' to each side of the equation. 2 + -2 + -10d = -35 + -2 Combine like terms: 2 + -2 = 0 0 + -10d = -35 + -2 -10d = -35 + -2 Combine like terms: -35 + -2 = -37 -10d = -37 Divide each side by '-10'. d = 3.7 Simplifying d = 3.7
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