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Simplifying 43 + d = -5d + 19 Reorder the terms: 43 + d = 19 + -5d Solving 43 + d = 19 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 43 + d + 5d = 19 + -5d + 5d Combine like terms: d + 5d = 6d 43 + 6d = 19 + -5d + 5d Combine like terms: -5d + 5d = 0 43 + 6d = 19 + 0 43 + 6d = 19 Add '-43' to each side of the equation. 43 + -43 + 6d = 19 + -43 Combine like terms: 43 + -43 = 0 0 + 6d = 19 + -43 6d = 19 + -43 Combine like terms: 19 + -43 = -24 6d = -24 Divide each side by '6'. d = -4 Simplifying d = -4
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