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Simplifying 3d + 7 = 2(d + -4) Reorder the terms: 7 + 3d = 2(d + -4) Reorder the terms: 7 + 3d = 2(-4 + d) 7 + 3d = (-4 * 2 + d * 2) 7 + 3d = (-8 + 2d) Solving 7 + 3d = -8 + 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. 7 + 3d + -2d = -8 + 2d + -2d Combine like terms: 3d + -2d = 1d 7 + 1d = -8 + 2d + -2d Combine like terms: 2d + -2d = 0 7 + 1d = -8 + 0 7 + 1d = -8 Add '-7' to each side of the equation. 7 + -7 + 1d = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 1d = -8 + -7 1d = -8 + -7 Combine like terms: -8 + -7 = -15 1d = -15 Divide each side by '1'. d = -15 Simplifying d = -15
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