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Simplifying 8 + -1d + -15 = 3d + 15 Reorder the terms: 8 + -15 + -1d = 3d + 15 Combine like terms: 8 + -15 = -7 -7 + -1d = 3d + 15 Reorder the terms: -7 + -1d = 15 + 3d Solving -7 + -1d = 15 + 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. -7 + -1d + -3d = 15 + 3d + -3d Combine like terms: -1d + -3d = -4d -7 + -4d = 15 + 3d + -3d Combine like terms: 3d + -3d = 0 -7 + -4d = 15 + 0 -7 + -4d = 15 Add '7' to each side of the equation. -7 + 7 + -4d = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -4d = 15 + 7 -4d = 15 + 7 Combine like terms: 15 + 7 = 22 -4d = 22 Divide each side by '-4'. d = -5.5 Simplifying d = -5.5
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