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Simplifying 7d + 5 + -5d + -3 + d = 13d + -10 Reorder the terms: 5 + -3 + 7d + -5d + d = 13d + -10 Combine like terms: 5 + -3 = 2 2 + 7d + -5d + d = 13d + -10 Combine like terms: 7d + -5d = 2d 2 + 2d + d = 13d + -10 Combine like terms: 2d + d = 3d 2 + 3d = 13d + -10 Reorder the terms: 2 + 3d = -10 + 13d Solving 2 + 3d = -10 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. 2 + 3d + -13d = -10 + 13d + -13d Combine like terms: 3d + -13d = -10d 2 + -10d = -10 + 13d + -13d Combine like terms: 13d + -13d = 0 2 + -10d = -10 + 0 2 + -10d = -10 Add '-2' to each side of the equation. 2 + -2 + -10d = -10 + -2 Combine like terms: 2 + -2 = 0 0 + -10d = -10 + -2 -10d = -10 + -2 Combine like terms: -10 + -2 = -12 -10d = -12 Divide each side by '-10'. d = 1.2 Simplifying d = 1.2
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