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Simplifying 7(2d + -1) + 5(7 + -3d) = 2d Reorder the terms: 7(-1 + 2d) + 5(7 + -3d) = 2d (-1 * 7 + 2d * 7) + 5(7 + -3d) = 2d (-7 + 14d) + 5(7 + -3d) = 2d -7 + 14d + (7 * 5 + -3d * 5) = 2d -7 + 14d + (35 + -15d) = 2d Reorder the terms: -7 + 35 + 14d + -15d = 2d Combine like terms: -7 + 35 = 28 28 + 14d + -15d = 2d Combine like terms: 14d + -15d = -1d 28 + -1d = 2d Solving 28 + -1d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 28 + -1d + -2d = 2d + -2d Combine like terms: -1d + -2d = -3d 28 + -3d = 2d + -2d Combine like terms: 2d + -2d = 0 28 + -3d = 0 Add '-28' to each side of the equation. 28 + -28 + -3d = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -3d = 0 + -28 -3d = 0 + -28 Combine like terms: 0 + -28 = -28 -3d = -28 Divide each side by '-3'. d = 9.333333333 Simplifying d = 9.333333333
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