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Simplifying 4(d + 2) = 2d + -7 Reorder the terms: 4(2 + d) = 2d + -7 (2 * 4 + d * 4) = 2d + -7 (8 + 4d) = 2d + -7 Reorder the terms: 8 + 4d = -7 + 2d Solving 8 + 4d = -7 + 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. 8 + 4d + -2d = -7 + 2d + -2d Combine like terms: 4d + -2d = 2d 8 + 2d = -7 + 2d + -2d Combine like terms: 2d + -2d = 0 8 + 2d = -7 + 0 8 + 2d = -7 Add '-8' to each side of the equation. 8 + -8 + 2d = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 2d = -7 + -8 2d = -7 + -8 Combine like terms: -7 + -8 = -15 2d = -15 Divide each side by '2'. d = -7.5 Simplifying d = -7.5
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