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Simplifying -4(d + -5) + 3 = 4 + -1(d + -4) Reorder the terms: -4(-5 + d) + 3 = 4 + -1(d + -4) (-5 * -4 + d * -4) + 3 = 4 + -1(d + -4) (20 + -4d) + 3 = 4 + -1(d + -4) Reorder the terms: 20 + 3 + -4d = 4 + -1(d + -4) Combine like terms: 20 + 3 = 23 23 + -4d = 4 + -1(d + -4) Reorder the terms: 23 + -4d = 4 + -1(-4 + d) 23 + -4d = 4 + (-4 * -1 + d * -1) 23 + -4d = 4 + (4 + -1d) Combine like terms: 4 + 4 = 8 23 + -4d = 8 + -1d Solving 23 + -4d = 8 + -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. 23 + -4d + d = 8 + -1d + d Combine like terms: -4d + d = -3d 23 + -3d = 8 + -1d + d Combine like terms: -1d + d = 0 23 + -3d = 8 + 0 23 + -3d = 8 Add '-23' to each side of the equation. 23 + -23 + -3d = 8 + -23 Combine like terms: 23 + -23 = 0 0 + -3d = 8 + -23 -3d = 8 + -23 Combine like terms: 8 + -23 = -15 -3d = -15 Divide each side by '-3'. d = 5 Simplifying d = 5
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