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Simplifying 5d + -13 = 19 + -3d Reorder the terms: -13 + 5d = 19 + -3d Solving -13 + 5d = 19 + -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. -13 + 5d + 3d = 19 + -3d + 3d Combine like terms: 5d + 3d = 8d -13 + 8d = 19 + -3d + 3d Combine like terms: -3d + 3d = 0 -13 + 8d = 19 + 0 -13 + 8d = 19 Add '13' to each side of the equation. -13 + 13 + 8d = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 8d = 19 + 13 8d = 19 + 13 Combine like terms: 19 + 13 = 32 8d = 32 Divide each side by '8'. d = 4 Simplifying d = 4
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