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Simplifying -3d + 15 = -7 + -1d Reorder the terms: 15 + -3d = -7 + -1d Solving 15 + -3d = -7 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 15 + -3d + d = -7 + -1d + d Combine like terms: -3d + d = -2d 15 + -2d = -7 + -1d + d Combine like terms: -1d + d = 0 15 + -2d = -7 + 0 15 + -2d = -7 Add '-15' to each side of the equation. 15 + -15 + -2d = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -2d = -7 + -15 -2d = -7 + -15 Combine like terms: -7 + -15 = -22 -2d = -22 Divide each side by '-2'. d = 11 Simplifying d = 11
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