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Simplifying 4(d + -3) + 7 = 2d + -1(d + 8) Reorder the terms: 4(-3 + d) + 7 = 2d + -1(d + 8) (-3 * 4 + d * 4) + 7 = 2d + -1(d + 8) (-12 + 4d) + 7 = 2d + -1(d + 8) Reorder the terms: -12 + 7 + 4d = 2d + -1(d + 8) Combine like terms: -12 + 7 = -5 -5 + 4d = 2d + -1(d + 8) Reorder the terms: -5 + 4d = 2d + -1(8 + d) -5 + 4d = 2d + (8 * -1 + d * -1) -5 + 4d = 2d + (-8 + -1d) Reorder the terms: -5 + 4d = -8 + 2d + -1d Combine like terms: 2d + -1d = 1d -5 + 4d = -8 + 1d Solving -5 + 4d = -8 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -5 + 4d + -1d = -8 + 1d + -1d Combine like terms: 4d + -1d = 3d -5 + 3d = -8 + 1d + -1d Combine like terms: 1d + -1d = 0 -5 + 3d = -8 + 0 -5 + 3d = -8 Add '5' to each side of the equation. -5 + 5 + 3d = -8 + 5 Combine like terms: -5 + 5 = 0 0 + 3d = -8 + 5 3d = -8 + 5 Combine like terms: -8 + 5 = -3 3d = -3 Divide each side by '3'. d = -1 Simplifying d = -1
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