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Simplifying 3 + 2(3d + -5) + -7 = 3(d + 4) + -10 Reorder the terms: 3 + 2(-5 + 3d) + -7 = 3(d + 4) + -10 3 + (-5 * 2 + 3d * 2) + -7 = 3(d + 4) + -10 3 + (-10 + 6d) + -7 = 3(d + 4) + -10 Reorder the terms: 3 + -10 + -7 + 6d = 3(d + 4) + -10 Combine like terms: 3 + -10 = -7 -7 + -7 + 6d = 3(d + 4) + -10 Combine like terms: -7 + -7 = -14 -14 + 6d = 3(d + 4) + -10 Reorder the terms: -14 + 6d = 3(4 + d) + -10 -14 + 6d = (4 * 3 + d * 3) + -10 -14 + 6d = (12 + 3d) + -10 Reorder the terms: -14 + 6d = 12 + -10 + 3d Combine like terms: 12 + -10 = 2 -14 + 6d = 2 + 3d Solving -14 + 6d = 2 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -14 + 6d + -3d = 2 + 3d + -3d Combine like terms: 6d + -3d = 3d -14 + 3d = 2 + 3d + -3d Combine like terms: 3d + -3d = 0 -14 + 3d = 2 + 0 -14 + 3d = 2 Add '14' to each side of the equation. -14 + 14 + 3d = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 3d = 2 + 14 3d = 2 + 14 Combine like terms: 2 + 14 = 16 3d = 16 Divide each side by '3'. d = 5.333333333 Simplifying d = 5.333333333
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